What are the solution of the equation x^2 - 4x - 32 = 0? show your work and justify each step.

Question

Mathematics

Spot

8 April, 20:22

What are the solution of the equation x^2 - 4x - 32 = 0? show your work and justify each step.

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Answers (1)

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Uriel Morgan · Answer 1

X^2-4x-32=0

(x+a) (x+b)

x^2 - (a+b) x+ab

a+b=4

ab=-32

a=-b+4

(-b+4) b=-32

-b^2+4b=-32

b^2-4b-32=0

b=8,-4

If b=8, a=-4

If b=-4, a = 8

Plug in a and b to (x+a) (x+b)

x = - 4, 8