What are the solutions to the equation -1/8 x^4+5/2 x^2-8=0 ?

The solutions to the equation -1/8 x^4+5/2 x^2-8=0 are x=2,x=-2,x=4,x=-4

Find the zeros of -1/8 x^4+5/2 x^2-8=0

The zeros of -1/8 x^4+5/2 x^2-8=0 are x=2,x=-2,x=4,x=-4

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- \frac{1}{8} x^{4} + \frac{5}{2} x^{2} - 8 = 0

x = 2, x = - 2, x = 4, x = - 4

Solution steps

- \frac{1}{8} x^{4} + \frac{5}{2} x^{2} - 8 = 0

Find Least Common Multiplier of

8, 2 : 8

Multiply by LCM=

8

- \frac{1}{8} x^{4} \cdot 8 + \frac{5}{2} x^{2} \cdot 8 - 8 \cdot 8 = 0 \cdot 8

Simplify

- x^{4} + 20 x^{2} - 64 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

- u^{2} + 20 u - 64 = 0

Solve

- u^{2} + 20 u - 64 = 0 : u = 4, u = 16

u = 4, u = 16

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 4 : x = 2, x = - 2

Solve

x^{2} = 16 : x = 4, x = - 4

The solutions are

x = 2, x = - 2, x = 4, x = - 4

2 (q + 1)^{3} = 128

x^{5} - 8 x^{3} - 9 x = 0

0 = 4 x^{3} - 36 x^{2} - 84 x

x^{4} + 8 x^{3} + 6 x^{2} - 5 x + 14 = 0

24 x^{5} + 10 x^{4} - x^{3} - 19 x^{2} - 5 x + 6 = 0

What are the solutions to the equation -1/8 x^4+5/2 x^2-8=0 ?
The solutions to the equation -1/8 x^4+5/2 x^2-8=0 are x=2,x=-2,x=4,x=-4
Find the zeros of -1/8 x^4+5/2 x^2-8=0
The zeros of -1/8 x^4+5/2 x^2-8=0 are x=2,x=-2,x=4,x=-4