What are the solution of the equation x^2- 4x -32 = 0 ?show your work and justify each step.
1 answer:
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
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3/4 (x-12)=12
3/4x - 9= 12
+9 +9
3/4x=21
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x= 15 3/4
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