Question

quadratic equation
x^{2} +10x+24=0

Answer 1

Answer:

x = -4 or -6

Step-by-step explanation:

${x}^{2} + 10x + 24 = 0 \\ {x}^{2} + 6x + 4x + 24 = 0 \\ x(x + 6) + 4(x + 6) = 0 \\ (x + 4)(x + 6) = 0 \\ x + 4 = 0 \: \: or \: \: x + 6 = 0 \\ x = - 4 \: \: or \: \: x = - 6$

Hope it helps you.

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Answer 2

$\huge\mathtt\pink{A}\mathtt\red{N}\mathtt\blue{S}\mathtt\green{W}\mathtt\purple{E}\mathtt\green{R} \:x=-6,-4$

Step-by-step explanation:

${x}^{?} + 10x + 24 =$

${x}^{2} + 6x + 4x + 24 =$

$x(x + 6) + 4(x + 4) =$

$(x + 4)(x + 6) =$

$x = - 6 \: and \: x = - 4$