What are the solutions to the equation 25x^4+9x^2-16=0 ?

The solutions to the equation 25x^4+9x^2-16=0 are x= 4/5 ,x=-4/5 ,x=i,x=-i

Find the zeros of 25x^4+9x^2-16=0

The zeros of 25x^4+9x^2-16=0 are x= 4/5 ,x=-4/5 ,x=i,x=-i

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25 x^{4} + 9 x^{2} - 16 = 0

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

Solution steps

25 x^{4} + 9 x^{2} - 16 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

25 u^{2} + 9 u - 16 = 0

Solve

25 u^{2} + 9 u - 16 = 0 : u = \frac{16}{25}, u = - 1

u = \frac{16}{25}, u = - 1

Substitute back

u = x^{2},

solve for

x

Solve

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

Solve

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

The solutions are

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

x^{6} = 23

x^{6} = 2 x

- a^{3} + 12 a^{2} - 32 a = 0

X^{3} - 3 X^{2} + 20 = 0

s (s + 3) (s^{2} + 2 s + 2) = 0

What are the solutions to the equation 25x^4+9x^2-16=0 ?
The solutions to the equation 25x^4+9x^2-16=0 are x= 4/5 ,x=-4/5 ,x=i,x=-i
Find the zeros of 25x^4+9x^2-16=0
The zeros of 25x^4+9x^2-16=0 are x= 4/5 ,x=-4/5 ,x=i,x=-i