Answer:
x = 6.2 or -2.2
Step-by-step explanation:
Given:
2x² - 12x - 14 = x² - 8x
Collect like terms
2x² - x² - 12x + 8x - 14 = 0
x² - 4x - 14 = 0
a = 1
b = -4
c = -14
x = -b ± √b² - 4ac / 2a
= -(-4) ± √(-4)² - 4(1)(-14) / 2(1)
= 4 ± √16 -(-56) / 2
= 4 ± √16 + 56 / 2
= 4 ± √72 / 2
= 4 ± 6√2 /2
= 4/2 + 6√2/2 or 4/2 - 6√2/2
= 2 + 3√2 or 2 - 3√2
= 2 + 4.2426406871192 or 2 - 4.2426406871192
= 6.2426406871192 or -2.2426406871192
Approximately,
x = 6.2 or -2.2
