solve the equation

Question

2x⁴-11x²+12=0

solve the above equation.

Answer 1

2x^4 - 11x^2 + 12 = 0

 

2(x^2)^2 - 11(x^2) + 12 = 0

 

x^2 = (--11 ± sqrt((-11)^2 - 4(2)(12)))/(2*2)

 

x^2 = (11 ± sqrt(121 - 96))/4

 

x^2 = (11 ± sqrt(25))/4

 

x^2 = (11 ± 5)/4

 

x^2 = 4 or 3/2

 

Take sqrt of both sides:

 

|x| = 2 or sqrt(6)/2

 

x = ±2 or ±sqrt(6)/2