Solve by using the quadratic formula 18x2 1412Solutiongiven

Solve by using the quadratic formula:

1/8x² - 1/4=1/2

Solution

given 1/8x2 - 1/4=1/2 => x²/8 +0x - 3/4 = 0

quadratic equation ax²+bx + c = 0, then x =[ -b+/-sqrt(b²-4ac)]/(2a)

then a=1/8,b=0,c=-3/4

x = [0+/-sqrt(0+3/8)]/(2*1/8)

= 4sqrt(3/8) and - 4sqrt(3/8)

x = 2sqrt(3/2), x = -2sqrt(3/2)