## Which of the following is the solution to the quadratic equation x2 – 10x + 24 = 0? x = -4, 6 x = 4, -6<

Question

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## Answers ( )

Answer: the third option is the correct answer.

Step-by-step 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