Answer :
x² -14x +31 = 63
x² -14x +49 = 81 . . . . . add 18 to complete the square
(x -7)² = 81
x -7 = ±√81 = ±9
x = 7 ±9
x = -2 or 16
x² -14x +49 = 81 . . . . . add 18 to complete the square
(x -7)² = 81
x -7 = ±√81 = ±9
x = 7 ±9
x = -2 or 16
Answer:
Value of x are 16 and -2
Step-by-step explanation:
Solve for x in the equation:
[tex]x^2-14x+31 = 63[/tex]
Subtract 63 from both sides we have;
[tex]x^2-14x-32=0[/tex]
To factor this equation as:
[tex]x^2-16x+2x-32=0[/tex]
⇒[tex]x(x-16)+2(x-16)=0[/tex]
Take (x-16) common we have;
⇒[tex](x-16)(x+2)=0[/tex]
By zero product property we have;
x-16 = 0 or x+2 = 0
⇒x = 16 or x = -2
Therefore, the value of x are: 16 and -2