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Solve the equation for the variable:

1.) x^2 - 12x = 45

2.) x^2 - 6x = 7

User Nootrope
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2 Answers

17 votes
17 votes

1. )


x^(2) -12x=45\\x^(2) -12x-45 = 0\\(x-15)(x+3) = 0\\x = -3, 15

2. )


x^(2)-6x=7\\x^(2) -6x-7=0\\(x-7)(x+1) = 0\\x = -1, 7

User Victor Moroz
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17 votes
17 votes

Answer:

Given Below.

Step-by-step explanation:

(a)


x^2 - 12x = 45


x^2 - 12x -45 = 0


x^2 - 15x + 3x - 45 = 0


x ( x-15) + 3 ( x - 15) = 0


(x+3)(x-15) = 0


x = -3 , 15

(b)


x^2 - 6x = 7


x^2 - 6x -7 = 0


x^2-7x + x -7 = 0


x(x-7)+1(x-7) = 0


(x+1)(x-7) =0


x = -1, 7

User Redder
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