What are the solutions to the equation roots 5x^4-9x^2+4 ?

The solutions to the equation roots 5x^4-9x^2+4 are x=1,x=-1,x= 2/(sqrt(5)),x=-2/(sqrt(5))

Find the zeros of roots 5x^4-9x^2+4

The zeros of roots 5x^4-9x^2+4 are x=1,x=-1,x= 2/(sqrt(5)),x=-2/(sqrt(5))

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roots

5 x^{4} - 9 x^{2} + 4

x = 1, x = - 1, x = \frac{2}{5}, x = - \frac{2}{5}

Solution steps

5 x^{4} - 9 x^{2} + 4

The roots are the intercepts with the x-axis

(y = 0)

5 x^{4} - 9 x^{2} + 4 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

5 u^{2} - 9 u + 4 = 0

Solve

5 u^{2} - 9 u + 4 = 0 : u = 1, u = \frac{4}{5}

u = 1, u = \frac{4}{5}

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 1 : x = 1, x = - 1

Solve

x^{2} = \frac{4}{5} : x = \frac{2}{5}, x = - \frac{2}{5}

The solutions are

x = 1, x = - 1, x = \frac{2}{5}, x = - \frac{2}{5}

x^{3} - 5 x^{2} - 36 x = 0

x^{3} - 5 x^{2} + 6 x - 30 = 0

r^{3} - 3 r + 2 = 0

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

2 x^{4} - 3 x^{3} - 7 x^{2} + 12 x - 4 = 0

What are the solutions to the equation roots 5x^4-9x^2+4 ?
The solutions to the equation roots 5x^4-9x^2+4 are x=1,x=-1,x= 2/(sqrt(5)),x=-2/(sqrt(5))
Find the zeros of roots 5x^4-9x^2+4
The zeros of roots 5x^4-9x^2+4 are x=1,x=-1,x= 2/(sqrt(5)),x=-2/(sqrt(5))