Given:
4x² + 16x = -16
Asked:
Discriminant and real solution
Work:
DISCRIMINANT
If we have a quadratic form ax² + bx + c = 0, then the discriminant would be
D = b² - 4ac
Change the form of quadratic equation, move -16 to the left side
4x² + 16x = -16
4x² + 16x + 16 = 0
Find the discriminant
D = b² - 4ac
D = 16² - 4(4) (16)
D = 256 - 256
D = 0
Discriminant = 0
REAL SOLUTION
4x² + 16x + 16 = 0
factorization
(2x + 4)(2x + 4) = 0
solution
2x + 4 = 0
2x = -4
x = -4/2
x = -2
There's one solution, x = -2