What are the solutions to the equation 2x^4+3x^4-2x^2=0 ?

The solutions to the equation 2x^4+3x^4-2x^2=0 are x=sqrt(2/5),x=-sqrt(2/5),x=0

Find the zeros of 2x^4+3x^4-2x^2=0

The zeros of 2x^4+3x^4-2x^2=0 are x=sqrt(2/5),x=-sqrt(2/5),x=0

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2 x^{4} + 3 x^{4} - 2 x^{2} = 0

x = \frac{2}{5}, x = - \frac{2}{5}, x = 0

Decimal Notation

x = 0.63245 \dots, x = - 0.63245 \dots, x = 0

Solution steps

2 x^{4} + 3 x^{4} - 2 x^{2} = 0

Refine

5 x^{4} - 2 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

5 u^{2} - 2 u = 0

Solve

5 u^{2} - 2 u = 0 : u = \frac{2}{5}, u = 0

u = \frac{2}{5}, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{2}{5} : x = \frac{2}{5}, x = - \frac{2}{5}

Solve

x^{2} = 0 : x = 0

The solutions are

x = \frac{2}{5}, x = - \frac{2}{5}, x = 0

x^{3} - 4 x^{2} + 20 x - 77 = 0

(x + 10)^{5} = 70

2 x^{7} - x^{6} + 9 = 0

x^{8} - 10 x^{4} + 9 = 0

2 (x^{2} - 4) (x^{2} + 49) = 0

What are the solutions to the equation 2x^4+3x^4-2x^2=0 ?
The solutions to the equation 2x^4+3x^4-2x^2=0 are x=sqrt(2/5),x=-sqrt(2/5),x=0
Find the zeros of 2x^4+3x^4-2x^2=0
The zeros of 2x^4+3x^4-2x^2=0 are x=sqrt(2/5),x=-sqrt(2/5),x=0