What are the solutions to the equation 6x^4+x^2=15 ?

The solutions to the equation 6x^4+x^2=15 are x=sqrt(3/2),x=-sqrt(3/2),x=sqrt(5/3)i,x=-sqrt(5/3)i

Find the zeros of 6x^4+x^2=15

The zeros of 6x^4+x^2=15 are x=sqrt(3/2),x=-sqrt(3/2),x=sqrt(5/3)i,x=-sqrt(5/3)i

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6 x^{4} + x^{2} = 15

x = \frac{3}{2}, x = - \frac{3}{2}, x = \frac{5}{3} i, x = - \frac{5}{3} i

Solution steps

6 x^{4} + x^{2} = 15

Move

15

to the left side

6 x^{4} + x^{2} - 15 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

6 u^{2} + u - 15 = 0

Solve

6 u^{2} + u - 15 = 0 : u = \frac{3}{2}, u = - \frac{5}{3}

u = \frac{3}{2}, u = - \frac{5}{3}

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{3}{2} : x = \frac{3}{2}, x = - \frac{3}{2}

Solve

x^{2} = - \frac{5}{3} : x = \frac{5}{3} i, x = - \frac{5}{3} i

The solutions are

x = \frac{3}{2}, x = - \frac{3}{2}, x = \frac{5}{3} i, x = - \frac{5}{3} i

x^{2} (x + 3)^{2} = 176

2 x^{3} - 3 x^{2} + 5 x + 1 = 0

x, 9 x^{3} - 5 y^{2} = 7

1300000 = 480000 (1 + x)^{12}

x^{3} - x^{2} - 14 x + 24 = 0

What are the solutions to the equation 6x^4+x^2=15 ?
The solutions to the equation 6x^4+x^2=15 are x=sqrt(3/2),x=-sqrt(3/2),x=sqrt(5/3)i,x=-sqrt(5/3)i
Find the zeros of 6x^4+x^2=15
The zeros of 6x^4+x^2=15 are x=sqrt(3/2),x=-sqrt(3/2),x=sqrt(5/3)i,x=-sqrt(5/3)i