Question

Find the roots of the polynomial equation.

x2 + 24 = –11x


A.
12, 2

B.
–8, –3

C.
–12, –2

D.
3, 8

Answer 1

@dpasingh

Answer 2

\[\huge x^2 + 24 = –11x \rightarrow x^2 + 11x+24 =0\]
\[\huge \rightarrow x^2 + 8x+3x+24 =0\]
\[\huge \rightarrow x(x + 8)+3(x+8) =0\]
\[\huge \rightarrow (x + 8)(x+3) =0\]
\[\huge \rightarrow (x + 8)=0 or (x+3) =0\]
\[\huge \rightarrow x =- 8 or x=-3\]
hence x=-8,-3 are the required roots of the given quadratic eq.
Thus option B. –8, –3 is the correct answer.
@blueweek77

Answer 3

@blueweek77

Answer 4

Ok, Thank you so much for explaining it to me!:D