What are the solutions to this quadric equation? X^2 + 13 = 8x + 37

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Question:

What are the solutions to this quadric equation? X^2 + 13 = 8x + 37

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Answer:Step-by-step explanation:Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :                     x^2+13-(8*x+37)=0  Trying to factor by splitting the middle term 1.1     Factoring  x2-8x-24   The first term is,  x2  its coefficient is  1 . The middle term is,  -8x  its coefficient is  -8 . The last term, "the constant", is  -24   Step-1 : Multiply the coefficient of the first term by the constant   1 • -24 = -24   Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -8 .      -24    +    1    =    -23        -12    +    2    =    -10        -8    +    3    =    -5        -6    +    4    =    -2        -4    +    6    =    2        -3    +    8    =    5        -2    +    12    =    10        -1    +    24    =    23   Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored Equation at the end of step 1 :  x2 - 8x - 24  = 0

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