Question

Which is a solution to the equation?

(x - 3)(x - 5) = 35
x= -8
x = -5
OOOO
X= 2
x = 10

Answer 1

x=10

Explanation:

One approach is to try them all out. For x=10 you have a winner, since (10-3)(10-5) = 7*5 = 35.

You can also work out the brackets, and refactor the equation. You will then get

(x+2)(x-10) = 0,

so x=-2 is another solution.

Answer 2

x = 10

x = -2

Explanation:

I'll solve it.

Open parentheses:

x^2 - 8x + 15 = 35

x^2 - 8x - 20 = 0

(x - 10)(x + 2) = 0

x = 10, x = -2