What are the solutions to the equation 16x^4-25x^2=0 ?

The solutions to the equation 16x^4-25x^2=0 are x= 5/4 ,x=-5/4 ,x=0

Find the zeros of 16x^4-25x^2=0

The zeros of 16x^4-25x^2=0 are x= 5/4 ,x=-5/4 ,x=0

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16 x^{4} - 25 x^{2} = 0

x = \frac{5}{4}, x = - \frac{5}{4}, x = 0

Solution steps

16 x^{4} - 25 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

16 u^{2} - 25 u = 0

Solve

16 u^{2} - 25 u = 0 : u = \frac{25}{16}, u = 0

u = \frac{25}{16}, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{25}{16} : x = \frac{5}{4}, x = - \frac{5}{4}

Solve

x^{2} = 0 : x = 0

The solutions are

x = \frac{5}{4}, x = - \frac{5}{4}, x = 0

27 x^{3} - 9 x^{2} - 12 x + 4 = 0

4 x^{3} + 15 x^{2} + 16 x + 6 = 0

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

g (n) = 3 n^{3} + 15 n^{2} + 5 n

x^{3} - 4 x^{2} - 5 = 0

What are the solutions to the equation 16x^4-25x^2=0 ?
The solutions to the equation 16x^4-25x^2=0 are x= 5/4 ,x=-5/4 ,x=0
Find the zeros of 16x^4-25x^2=0
The zeros of 16x^4-25x^2=0 are x= 5/4 ,x=-5/4 ,x=0