2 answers

Solve using the quadratic formula

Question:

Solve using the quadratic formula.
5x^2-2x-3=0

Answers

Ok, remember that the quadratic formula is (-b+-sqrt(b^2 -4ac))/2a : so (2+-sqrt(4+60))/10. So that equals (2+-8)/10.  So you have two answers (2+8)/10 or (2-8)/10. 1 or -6/10.

.

{{{5x^2-3x-3=0}}} Start with the given equation. Notice that the quadratic {{{5x^2-3x-3}}} is in the form of {{{Ax^2+Bx+C}}} where {{{A=5}}}, {{{B=-3}}}, and {{{C=-3}}} Let's use the quadratic formula to solve for "x": {{{x = (-B +- sqrt( B^2-4AC ))/(2A)}}} Start with the quadratic formula {{{x = (-(-3) +- sqrt( (-3)^2-4(5)(-3) ))/(2(5))}}} Plug in {{{A=5}}}, {{{B=-3}}}, and {{{C=-3}}} {{{x = (3 +- sqrt( (-3)^2-4(5)(-3) ))/(2(5))}}} Negate {{{-3}}} to get {{{3}}}. {{{x = (3 +- sqrt( 9-4(5)(-3) ))/(2(5))}}} Square {{{-3}}} to get {{{9}}}. {{{x = (3 +- sqrt( 9--60 ))/(2(5))}}} Multiply {{{4(5)(-3)}}} to get {{{-60}}} {{{x = (3 +- sqrt( 9+60 ))/(2(5))}}} Rewrite {{{sqrt(9--60)}}} as {{{sqrt(9+60)}}} {{{x = (3 +- sqrt( 69 ))/(2(5))}}} Add {{{9}}} to {{{60}}} to get {{{69}}} {{{x = (3 +- sqrt( 69 ))/(10)}}} Multiply {{{2}}} and {{{5}}} to get {{{10}}}. {{{x = (3+sqrt(69))/(10)}}} or {{{x = (3-sqrt(69))/(10)}}} Break up the expression.

So the solutions are {{{x = (3+sqrt(69))/(10)}}} or {{{x = (3-sqrt(69))/(10)}}} which approximate to {{{x=1.131}}} or {{{x=-0.531}}}

.

Similar Solved Questions

1 answer
Thomas Enterprises purchased a depreciable asset on October 1. Year 1 at a cost of $100,000....
Thomas Enterprises purchased a depreciable asset on October 1. Year 1 at a cost of $100,000. The asset is expected to have a salvage value of $15,000 at the end of its five-year useful life. If the asset is depreciated on the double-declining balance method, the asset's book value on December 31...
1 answer
Problem 11-5 (Static) Property, plant, and equipment and intangible assets; comprehensive [LO11-2] The Thompson Corporation, a...
Problem 11-5 (Static) Property, plant, and equipment and intangible assets; comprehensive [LO11-2] The Thompson Corporation, a manufacturer of steel products, began operations on October 1, 2019. The accounting department of Thompson has started the fixed-asset and depreciation schedule presented be...
1 answer
Find the present value for the amount given in the table Amount $3876.84 Nominal Rate 4.3%...
Find the present value for the amount given in the table Amount $3876.84 Nominal Rate 4.3% Frequency of Conversion semi-annually Time 6 years The present value is $...
1 answer
Testbank Question 35 x Your answer is incorrect. Try again. What is the major product for...
Testbank Question 35 x Your answer is incorrect. Try again. What is the major product for the following reaction? X SCOA). EtOH O NaBH4, NaOH + CO...
1 answer
What is nitrogen fixation and why is this important?
What is nitrogen fixation and why is this important?...
1 answer
A radial water pump with an exit radius of 5 in. an exit blade thickness of...
A radial water pump with an exit radius of 5 in. an exit blade thickness of 0.6 in. develops an actual pressure head of 100 ft at 500 gpm when rotating at 1750 rpm. The shaft power is measured to be 21 hp and the losses are estimated to be 1.4 hp for disk friction, 0.5 hp for bearings/seals, and 20 ...
1 answer
7. Given: Natural gas (CH4) must have the hydrogen sulfide (H2S) removed before it is burned....
7. Given: Natural gas (CH4) must have the hydrogen sulfide (H2S) removed before it is burned. One way to do this is to pass the natural gas through a bed of zinc oxide (ZnO) (molecular weight of 81, density of 1.11 g/cm3), where following reaction takes place. Outflow ZnO + H2S ? ZnS + H2O You have ...
1 answer
What are your thoughts about a vendor’s suggestion to scan all chart forms from all provider settings into one repositor...
What are your thoughts about a vendor’s suggestion to scan all chart forms from all provider settings into one repository so they would be readily available when needed in an emergency?Would there need to be an additional piece of software to identify and locate the patients? What other issues...
1 answer
1-n Problem 5. (Equity weights.) (20 points.) The average GDP per capita is $16,000 worldwide, and...
1-n Problem 5. (Equity weights.) (20 points.) The average GDP per capita is $16,000 worldwide, and $59,000 in the US.? If the utility functions of the various countries in the world used by the social regulator are U(cc)=C, where ce=GDP per capita in country c, and n=0.5, what equity weight should b...
1 answer
Hello can someone help me answer this plz? Part C confuses me Exercise 4: Calculate Inflation...
Hello can someone help me answer this plz? Part C confuses me Exercise 4: Calculate Inflation and Compare CPI vs GDP Deflator (14) Consider an economy in which pizzas and burgers are produced. In year 1, 20 million pounds of pizzas are produced and consumed, and the price of pizza is $2 per poun...
1 answer
The following is a list of items to be included in the cash flow statement of...
The following is a list of items to be included in the cash flow statement of the Brock- man Lawn Sprinklers Company for the current year: (a) Payment for purchase of trenching equipment, $6,000 7-21 2 (b) Payments to suppliers, $3,200 (c) Receipt from sale of land, $1,000 (d) Collections from custo...
1 answer
What is the oxidation number of Copper in CuOH+
What is the oxidation number of Copper in CuOH+...
1 answer
Please answer 11, 12, and 13 thanks Expert Q&A Done QUESTION 11 1. The greedy best-first...
please answer 11, 12, and 13 thanks Expert Q&A Done QUESTION 11 1. The greedy best-first search algorithm is complete. True False 2. QUESTION 12 1. A and B are propositions, Given the equality PIAB) x and the following statements. (A means negation A) ii) B ->P(A) x (iii) P(Al-B)-1-X (iv...
1 answer
Using one of the loop structures, and function overloading, write function mypower
3. Using one of the loop structures, and function overloading, write function mypower(int x,int y) which calculates X', and write another function in the same code called mypower(double x,int y) which calculates X'. Test both in the main. Note: y can be negative value. Hint: x-Y =...
1 answer
The radius of a single atom of generic element X is 179 pm, and a crystal...
The radius of a single atom of generic element X is 179 pm, and a crystal of X has a unit cell that is body-centered cubic. Calculate the volume....
1 answer
6. Express as the limit of a Riemann sum. (2x 5x-2) dx 7. A rectangul vertical sides which run n ...
6. Express as the limit of a Riemann sum. (2x 5x-2) dx 7. A rectangul vertical sides which run n ar region with area 4800 square feet is to be enclosed within a fence. The two orth-south will use fencing materials costing $2.00 per foot, while the zontal sides require fencing materials costing $5.00...
1 answer
Hydrogen gas reduces NO to N2 in the following reaction: 2H2(g) + 2NO(g) + 2H20(g) +N_(8)...
Hydrogen gas reduces NO to N2 in the following reaction: 2H2(g) + 2NO(g) + 2H20(g) +N_(8) The initial reaction rates of four mixtures of H2 and NO were measured at 1500°C with the following results: Experiment [H2lo (M) [NO] (M) Initial Rate (M/s) 1 0.212 0.136 0.0275 2 0.212 0.272 0.0553 3 0.42...
1 answer
The following circuit is used to answer parts 11 and 12, 24 V 12 V 11....
The following circuit is used to answer parts 11 and 12, 24 V 12 V 11. V24P (the voltage part of Vx due to the 24 V source only) is (A) 6V(B) 24V (C) 8 V (D) 9 V (E) 4 V 12. V8.4 (the voltage part of Ķ due to the 8 A source only) is (A) 24 V (B) 12V(C) 16V (D) 72V(E) 48 V...