QuestionAugust 25, 2025

For the following exercise, solve the quadratic equation by factoring. x^2-x-20=0 x=square ,square

For the following exercise, solve the quadratic equation by factoring. x^2-x-20=0 x=square ,square
For the following exercise, solve the quadratic equation by factoring. x^2-x-20=0 x=square ,square

Solution
4.5(358 votes)

Answer

x = 5, -4 Explanation 1. Identify factors of the constant term Find two numbers that multiply to -20 and add to -1. These numbers are -5 and 4. 2. Factor the quadratic equation Rewrite x^2 - x - 20 as (x - 5)(x + 4) = 0. 3. Solve for x Set each factor equal to zero: x - 5 = 0 and x + 4 = 0. Solve these equations to find x = 5 and x = -4.

Explanation

1. Identify factors of the constant term<br /> Find two numbers that multiply to $-20$ and add to $-1$. These numbers are $-5$ and $4$.<br />2. Factor the quadratic equation<br /> Rewrite $x^2 - x - 20$ as $(x - 5)(x + 4) = 0$.<br />3. Solve for $x$<br /> Set each factor equal to zero: $x - 5 = 0$ and $x + 4 = 0$. Solve these equations to find $x = 5$ and $x = -4$.
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