Question

(x-6)(x+7) = (x+3)(x-11)

Answer 1

Answer:

hey mate here's the answer

If you will divide 9/9 it will be 1,that is

the answer will be 1.

I think it is helpful to you.

Answer 2

Answer:

x ∈ {1} - {-3 , 11}

Step-by-step explanation:

(x-6) (x+7) = (x+3) (x-11)

(x-6) (x+7) / (x+3) (x-11) -1 = 0

(x-6) (x+7) - (x+3) (x-11) / (x+3) (x-11) = 0

(x² + x - 42) - (x² - 8x - 33) / (x+3) (x-11) = 0

x² - x² + x + 8x - 42 + 33 / (x+3) (x-11) = 0

9x - 9 / (x+3) (x-11) = 0

Therefore, for the L.H.S to be equal to 0, (9x - 9) should be equal to 0.

∴ 9x - 9 = 0

∴ 9x = 9

∴ x = 9/9 = 1

But, the denominator should not be equal to 0.

∴ (x+3) (x-11) ≠ 0

∴ x ≠ -3 , 11

∴ x ∈ {1} - {-3 , 11}