What are the solutions to the equation 81x^4-100x^2=0 ?

The solutions to the equation 81x^4-100x^2=0 are x= 10/9 ,x=-10/9 ,x=0

Find the zeros of 81x^4-100x^2=0

The zeros of 81x^4-100x^2=0 are x= 10/9 ,x=-10/9 ,x=0

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81 x^{4} - 100 x^{2} = 0

x = \frac{10}{9}, x = - \frac{10}{9}, x = 0

Decimal

x = 1.11111 \dots, x = - 1.11111 \dots, x = 0

Solution steps

81 x^{4} - 100 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

81 u^{2} - 100 u = 0

Solve

81 u^{2} - 100 u = 0 : u = \frac{100}{81}, u = 0

u = \frac{100}{81}, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{100}{81} : x = \frac{10}{9}, x = - \frac{10}{9}

Solve

x^{2} = 0 : x = 0

The solutions are

x = \frac{10}{9}, x = - \frac{10}{9}, x = 0

y, x^{4} + y^{3} = 24

2 x^{4} + 4 x^{3} - 18 x^{2} - 36 x = 0

8 x^{3} + 50 x^{2} - 41 x + 7 = 0

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

x^{4} - x^{3} - x^{2} - x - 1 = 0

What are the solutions to the equation 81x^4-100x^2=0 ?
The solutions to the equation 81x^4-100x^2=0 are x= 10/9 ,x=-10/9 ,x=0
Find the zeros of 81x^4-100x^2=0
The zeros of 81x^4-100x^2=0 are x= 10/9 ,x=-10/9 ,x=0