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

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

in progress 0
Reagan 3 months 2021-10-17T03:41:09+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-17T03:42:13+00:00

    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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )