Question

Solve the quadratic equation x² + 2√2x-6=0 for x

Answer 1

Explanation:

D = b²-4ac

D = (2√2)²-4×1×(-6)

D = 8+24 = 32 = 4√2

X1 =

`\\ ( - 2 √(2) + 4 √(2) )/( 2 ) = (2 √(2) )/(2) = √(2)`

X2 =

`( - 2 √(2 ) - 4 √(2) )/(2) = - 3 √(2)`