What are the solutions to the equation 114x^4-24^2+1=0 ?

The solutions to the equation 114x^4-24^2+1=0 are

Find the zeros of 114x^4-24^2+1=0

The zeros of 114x^4-24^2+1=0 are

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114 x^{4} - 2 4^{2} + 1 = 0

Solution steps

114 x^{4} - 2 4^{2} + 1 = 0

Move

2 4^{2}

to the right side

114 x^{4} + 1 = 576

Move

1

to the right side

114 x^{4} = 575

Divide both sides by

114

x^{4} = \frac{575}{114}

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = \frac{575}{114}

Solve

u^{2} = \frac{575}{114} : u = \frac{575}{114}, u = - \frac{575}{114}

u = \frac{575}{114}, u = - \frac{575}{114}

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = - \frac{575}{114} : x = - \frac{5 23}{114}, x = - - \frac{5 23}{114}

The solutions are

- a^{3} + 7 = - 20

82853.3352 = \frac{4}{3} π r^{3}

x^{3} + 3 x^{2} + 3 x - 8059 = 0

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

x^{3} - 27 x = - 10

What are the solutions to the equation 114x^4-24^2+1=0 ?
The solutions to the equation 114x^4-24^2+1=0 are
Find the zeros of 114x^4-24^2+1=0
The zeros of 114x^4-24^2+1=0 are