Question

Which is a solution to the equation (х – 3)(х – 5) = 35?

х = -8
x = -5
х = 2
х = 10

Answer 1

x = 10

Explanation:

Given

x - 3)(x - 5) = 35 ← expand the left side using FOIL

x² - 8x + 15 = 35 ( subtract 35 from both sides )

x² - 8x - 20 = 0 ← in standard form

(x - 10)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 2 = 0 ⇒ x = - 2

Thus x = 10 is a solution to the equation