solve and check 7x^2-9x-6=0

Question

How do you do this problem?

step by step please.

Answer 1

Given equation 7x^2-9x-6 = 0

Compare it to quadratic equation ax^2+bx+c = 0

a = 7, b = -9, c = -6.

Roots are x = [-b±√(b^2-4ac)]/2a

x = [9±√(81+168)]/14

x = [9±√249]/14

x = [9±15.77]/14

x = (9+15.77)/14 and x = (9-15.77)/14

x = 24.77/14 and x = -6.77/14

Solution x = 1.76 and x = -0.48.

Comments

Check :

For x  = -0.48

The statement is true.

For x  = 1.76

The statement is true.