Verified Answer :

Answer:

The answer is the option B

\(-4,-14\)

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form \(ax^{2} +bx+c=0\) is equal to

\(x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}\)

in this problem we have

\(x^{2}+18x+81=25\)  

\(x^{2}+18x+56=0\)  

so

\(a=1\\b=18\\c=56\)

substitute in the formula

\(x=\frac{-18(+/-)\sqrt{18^{2}-4(1)(56)}} {2(1)}\)

\(x=\frac{-18(+/-)\sqrt{100}} {2}\)

\(x=\frac{-18(+/-)10} {2}\)

\(x1=\frac{-18+10} {2}=-4\)

\(x2=\frac{-18-10} {2}=-14\)

Answer:

The correct option is B. -4 , -14  

Step-by-step explanation:

The equation is given to be : x² + 18x + 81 = 25

We need to find the roots of this given equation

⇒ x² + 18x + 81 = 25

⇒ x² + 18x + 81 - 25 = 0

⇒ x² + 18x + 56 = 0

⇒ x² + 14x + 4x + 56 = 0

⇒ x( x + 14) + 4( x + 14) = 0

⇒ (x + 14) · (x + 4) = 0

⇒ x = -14 or x = -4

Therefore, The correct option is B. -4 , -14