What are the solutions to the equation 464(x^2+6.1)=11x^4 ?

The solutions to the equation 464(x^2+6.1)=11x^4 are

Find the zeros of 464(x^2+6.1)=11x^4

The zeros of 464(x^2+6.1)=11x^4 are

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464 (x^{2} + 6.1) = 11 x^{4}

x = \frac{2 ( 580 + 530990 )}{55}, x = - \frac{2 ( 580 + 530990 )}{55}, x = \frac{2 ( 580 - 530990 )}{55}, x = - \frac{2 ( 580 - 530990 )}{55}

Solution steps

464 (x^{2} + 6.1) = 11 x^{4}

Expand

464 (x^{2} + 6.1) : 464 x^{2} + 2830.4

464 x^{2} + 2830.4 = 11 x^{4}

Switch sides

11 x^{4} = 464 x^{2} + 2830.4

Move

2830.4

to the left side

11 x^{4} - 2830.4 = 464 x^{2}

Move

464 x^{2}

to the left side

11 x^{4} - 2830.4 - 464 x^{2} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

11 x^{4} - 464 x^{2} - 2830.4 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

11 u^{2} - 464 u - 2830.4 = 0

Solve

11 u^{2} - 464 u - 2830.4 = 0 : u = \frac{2 ( 580 + 530990 )}{55}, u = \frac{2 ( 580 - 530990 )}{55}

u = \frac{2 ( 580 + 530990 )}{55}, u = \frac{2 ( 580 - 530990 )}{55}

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{2 ( 580 + 530990 )}{55} : x = \frac{2 ( 580 + 530990 )}{55}, x = - \frac{2 ( 580 + 530990 )}{55}

Solve

x^{2} = \frac{2 ( 580 - 530990 )}{55} : x = \frac{2 ( 580 - 530990 )}{55}, x = - \frac{2 ( 580 - 530990 )}{55}

The solutions are

x = \frac{2 ( 580 + 530990 )}{55}, x = - \frac{2 ( 580 + 530990 )}{55}, x = \frac{2 ( 580 - 530990 )}{55}, x = - \frac{2 ( 580 - 530990 )}{55}

\frac{x ^{3}}{4} x + \frac{5}{4} = 4 x

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

x^{3} = 0.5

m^{6} + 1 = 0

8 k^{6} + 15 k^{3} - 2 = 0

What are the solutions to the equation 464(x^2+6.1)=11x^4 ?
The solutions to the equation 464(x^2+6.1)=11x^4 are
Find the zeros of 464(x^2+6.1)=11x^4
The zeros of 464(x^2+6.1)=11x^4 are