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Sagot :
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]
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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