Question

find the roots of
x²-8x-32=0​

Answer 1

Answer:

x = 10.92, -2.92.

Step-by-step explanation:

x² - 8 x - 32 = 0

x = (- b ± (√b² - 4ac)) / 2a      # Quadratic Formula

x = (8 ± (√(-8)² - 4(-32)) / 2

x = (8 ± (√64 + 128)) / 2

x = (8 ± (√192)) / 2

x = (8 ± 8√3) /2

x = (8 + 8√3) / 2,  x = (8 - 8√3) / 2

x = 8(1 + √3) / 2,  x = 8(1 - √3) / 2

x = 4(1 + √3),  x = 4(1 - √3)

x = 4(2.73),  x = 4(-0.73)

x = 10.92 , x = -2.92.

∴ x = 10.92, -2.92.