What are the solutions to the equation solvefor y,y^2=5x^4-x^2 ?

The solutions to the equation solvefor y,y^2=5x^4-x^2 are y=xsqrt(5x^2-1),y=-xsqrt(5x^2-1)

Find the zeros of solvefor y,y^2=5x^4-x^2

The zeros of solvefor y,y^2=5x^4-x^2 are y=xsqrt(5x^2-1),y=-xsqrt(5x^2-1)

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solve for

y, y^{2} = 5 x^{4} - x^{2}

y = x 5 x^{2} - 1, y = - x 5 x^{2} - 1

Solution steps

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

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

y = 5 x^{4} - x^{2}, y = - 5 x^{4} - x^{2}

Simplify

5 x^{4} - x^{2} : x 5 x^{2} - 1

Simplify

- 5 x^{4} - x^{2} : - x 5 x^{2} - 1

y = x 5 x^{2} - 1, y = - x 5 x^{2} - 1

3 x^{3} + x^{2} - 3 x - 1 = 0

4 x^{4} + 19 x^{2} - 5 = 0

x^{3} + x^{2} + x + 1 = 0

x^{4} - x^{3} - 30 x^{2}

2 x^{4} + 5 x^{3} - 23 x^{2} + 10 x = 0

What are the solutions to the equation solvefor y,y^2=5x^4-x^2 ?
The solutions to the equation solvefor y,y^2=5x^4-x^2 are y=xsqrt(5x^2-1),y=-xsqrt(5x^2-1)
Find the zeros of solvefor y,y^2=5x^4-x^2
The zeros of solvefor y,y^2=5x^4-x^2 are y=xsqrt(5x^2-1),y=-xsqrt(5x^2-1)