1 answer

How do you solve #x-\frac{15}{x}=2#?

Question:

How do you solve #x-\frac{15}{x}=2#?

Answers

#x=-3" or "x=5#

Explanation:

#"multiply all terms by "x#

#x^2-15=2x#

#x^2-2x-15=0larrcolor(blue)"in standard form"#

#"the factors of - 15 which sum to - 2 are - 5 and + 3"#

#(x-5)(x+3)=0#

#"equate each factor to zero and solve for x"#

#x+3=0rArrx=-3#

#x-5=0rArrx=5#

.

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