Multiple choice

Solve the following quadratic equation by factorization, the roots are :$-2a, b$ $x^2$ + 2ab = (2a + b)x

  1. True

  2. False

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Rearranging gives x^2 - (2a + b)x + 2ab = 0. This factors as (x - 2a)(x - b) = 0, so the roots are 2a and b, not -2a and b. Therefore the statement is false.

AI explanation

Rewrite the equation as x^2 - (2a + b)x + 2ab = 0 and split the middle term to get x^2 - 2ax - bx + 2ab = 0. Factoring by grouping gives x(x - 2a) - b(x - 2a) = 0, which results in (x - 2a)(x - b) = 0. This yields roots of 2a and b, not -2a and b, so the statement is False.