What are the solutions to the equation v^4-0.8949v^2+0.028367=0 ?

The solutions to the equation v^4-0.8949v^2+0.028367=0 are

Find the zeros of v^4-0.8949v^2+0.028367=0

The zeros of v^4-0.8949v^2+0.028367=0 are

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v^{4} - 0.8949 v^{2} + 0.028367 = 0

v = \frac{8949 + 11 568081}{100 2}, v = - \frac{8949 + 11 568081}{100 2}, v = \frac{8949 - 11 568081}{100 2}, v = - \frac{8949 - 11 568081}{100 2}

Decimal Notation

v = 0.92843 \dots, v = - 0.92843 \dots, v = 0.18140 \dots, v = - 0.18140 \dots

Solution steps

v^{4} - 0.8949 v^{2} + 0.028367 = 0

Rewrite the equation with

u = v^{2}

and

u^{2} = v^{4}

u^{2} - 0.8949 u + 0.028367 = 0

Solve

u^{2} - 0.8949 u + 0.028367 = 0 : u = \frac{0.8949 + 0.68737801}{2}, u = \frac{0.8949 - 0.68737801}{2}

u = \frac{0.8949 + 0.68737801}{2}, u = \frac{0.8949 - 0.68737801}{2}

Substitute back

u = v^{2},

solve for

v

Solve

v^{2} = \frac{0.8949 + 0.68737801}{2} : v = \frac{8949 + 11 568081}{100 2}, v = - \frac{8949 + 11 568081}{100 2}

Solve

v^{2} = \frac{0.8949 - 0.68737801}{2} : v = \frac{8949 - 11 568081}{100 2}, v = - \frac{8949 - 11 568081}{100 2}

The solutions are

v = \frac{8949 + 11 568081}{100 2}, v = - \frac{8949 + 11 568081}{100 2}, v = \frac{8949 - 11 568081}{100 2}, v = - \frac{8949 - 11 568081}{100 2}

x, x^{3} + 5 y = 25

4 x^{3} + 12 a x^{2} - 16 a^{2} x = 0

x^{4} - 2 x^{3} - 8 x + 16 = 0

x^{3} - 8 x = 2 x^{2}

x, y - 1 = x^{3}

What are the solutions to the equation v^4-0.8949v^2+0.028367=0 ?
The solutions to the equation v^4-0.8949v^2+0.028367=0 are
Find the zeros of v^4-0.8949v^2+0.028367=0
The zeros of v^4-0.8949v^2+0.028367=0 are