Answer:
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 6x - 40 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = - 6
c = - 40
Therefore,
x = [- - 6 ± √(- 6² - 4 × 1 × - 40)]/2 × 1
x = [- 6 ± √(36 - - 160)]/2
x = [- 6 ± √196]/2
x = (- 6 + 14)/2 or x = (- 6 - 14)/2
x = 8/2 or x = - 20/2
x = 4 or x = - 10
