Answer:
x = -(-20)² ± √(-20)² - 4(16)(-6) / 2(16)
Step-by-step explanation:
Given quadratic equation:
16x² - 20x - 6 = 0
Quadratic formula is given by:
x = -b² ± √b² - 4(a)(c) / 2a
16x² - 20x - 6 = 0
From the equation,
a = 16
b = -20
c = -6
x = -b² ± √b² - 4(a)(c) / 2a
x = -(-20)² ± √(-20)² - 4(16)(-6) / 2(16)
x = -(400) ± √(400) - (-384) / 32
x = -400 ± √400 + 384 / 32
x = -400 ± √784 / 32
x = -400 ± 28 / 32
x = (-400 + 28) / 32 or x = (-400 - 28) / 32
