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Solve the equation for the variable:

1.) x^2 - 12x = 45

2.) x^2 - 6x = 7

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Answer:

Given Below.

Explanation:

(a)

[tex]x^2 - 12x = 45[/tex]

[tex]x^2 - 12x -45 = 0[/tex]

[tex]x^2 - 15x + 3x - 45 = 0[/tex]

[tex]x ( x-15) + 3 ( x - 15) = 0[/tex]

[tex](x+3)(x-15) = 0[/tex]

[tex]x = -3 , 15[/tex]

(b)

[tex]x^2 - 6x = 7[/tex]

[tex]x^2 - 6x -7 = 0[/tex]

[tex]x^2-7x + x -7 = 0[/tex]

[tex]x(x-7)+1(x-7) = 0[/tex]

[tex](x+1)(x-7) =0[/tex]

[tex]x = -1, 7[/tex]

Winnerofferlyidn

1. )

[tex]x^{2} -12x=45\\x^{2} -12x-45 = 0\\(x-15)(x+3) = 0\\x = -3, 15[/tex]

2. )

[tex]x^{2}-6x=7\\x^{2} -6x-7=0\\(x-7)(x+1) = 0\\x = -1, 7[/tex]

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