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azamat
3 years ago
7

Which quadratic equation is equivalent to (x+2)^2+5(x+2)-6=0

Mathematics
2 answers:
Debora [2.8K]3 years ago
7 0

Answer:

x^2+11x+24 =0

Step-by-step explanation:

(x+2)^2+5(x+2)-6=0

Substitute

x+2 =y

y^2+5y-6=0\\(y+6)(y-1)=0\\y=-6,1

Now replace y by x values

x+2=-6\\x=-8\\x+2=-1\\x=-3

Roots are -3 and -8

The equivalent equation would be

(x+3)(x+8) =0\\x^2+11x+24 =0

Elis [28]3 years ago
5 0
X^2 + 9x + 8 = 0

You can get this by multiplying and foiling, then simplifying. 
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