Solve for x in the equation x^2-14x+31=63.

-2; 16

Step-by-step explanation:

Rewrite the equation as:

Now use the quadratic formula:

Now

x = 16 or x = -2

Step-by-step explanation:

Points to remember

Solution of a quadratic equation  ax² + bx + = 0 is given by

x = [-b ± √(b² - 4ac) ]/2a

To find the solution of equation

We have x² - 14x + 31 = 63

x² - 14x + 31 - 63 = 0

x² - 14x - 32 = 0

a = 1, b = -14 and c = 32

x = [-b ± √(b² - 4ac) ]/2a

 = x = [- -14 ± √((-14)² - 4*1 * (-32)) ]/2*1

 = [14 ± √324]/2

x = -2 or x = 16

step-by-step explanation: