solve for x. options 3, -4, 5, 0
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Given (x+6)(x-6) - (x-5)^2 = 40 - 17(x-2)
We know that (a+b)(a-b) = a^2-b^2.
(x^2 - 36) - (x^2 +25 - 10x) = 40 - 17x + 34
x^2 - 36 - x^2 - 25 + 10x = 40 - 17x + 34
10x - 61 = 74 - 17x
10x = -17x + 135
27x = 135
x = 135/27
x = 5.
Hope this helps!
We know that (a+b)(a-b) = a^2-b^2.
(x^2 - 36) - (x^2 +25 - 10x) = 40 - 17x + 34
x^2 - 36 - x^2 - 25 + 10x = 40 - 17x + 34
10x - 61 = 74 - 17x
10x = -17x + 135
27x = 135
x = 135/27
x = 5.
Hope this helps!
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