Question

Which of the following is the solution to the quadratic equation x2 - 10x + 24 = 0?

x = -4, 6


x = 4, -6


x = 4, 6


x= -4, -6

Answer 1

Answer: the third option is the correct answer.

Explanation:

The given quadratic equation is expressed as

x² - 10x + 24 = 0

We would apply the method of factorization by finding two numbers such that their sum or difference is -10x and their product is 24x^2. The two numbers are - 6x and - 4x. Therefore,

x² - 6x - 4x + 24 = 0

x(x - 6) - 4(x - 6) = 0

(x - 6)(x - 4) = 0

Therefore, the solutions to the equation are

x = 4 or x = 6