Solve x2 – 14x 31 = 63 for x
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x^2-14*x+31-(63)=0 x = 16
Answer with Step-by-step explanation:
We have to find the solution of the equation:
\(x^2-14x+31=63\)
this equation could also be written as:
\(x^2-14x+31-63=0\)
\(x^2-14x-32=0\)
On splitting the middle term, we get
\(x^2-16x+2x-32=0\)
on combining first,second and third,fourth term
x(x-16)+2(x-16)=0
⇒ (x+2)(x-16)=0
⇒ either x+2=0 or x-16=0
⇒ either x= -2 or x=16
Hence, solution of \(x^2-14x+31=63\) is:
-2 and 16