What are the solutions to the equation 9y^4+65y^2-144=0 ?

The solutions to the equation 9y^4+65y^2-144=0 are y= 4/3 ,y=-4/3 ,y=3i,y=-3i

Find the zeros of 9y^4+65y^2-144=0

The zeros of 9y^4+65y^2-144=0 are y= 4/3 ,y=-4/3 ,y=3i,y=-3i

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9 y^{4} + 65 y^{2} - 144 = 0

y = \frac{4}{3}, y = - \frac{4}{3}, y = 3 i, y = - 3 i

Solution steps

9 y^{4} + 65 y^{2} - 144 = 0

Rewrite the equation with

u = y^{2}

and

u^{2} = y^{4}

9 u^{2} + 65 u - 144 = 0

Solve

9 u^{2} + 65 u - 144 = 0 : u = \frac{16}{9}, u = - 9

u = \frac{16}{9}, u = - 9

Substitute back

u = y^{2},

solve for

y

Solve

y^{2} = \frac{16}{9} : y = \frac{4}{3}, y = - \frac{4}{3}

Solve

y^{2} = - 9 : y = 3 i, y = - 3 i

The solutions are

y = \frac{4}{3}, y = - \frac{4}{3}, y = 3 i, y = - 3 i

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

x^{4} + x^{3} - 6 x^{2} - 4 x + 8 = 0

x^{3} - 6 x^{2} + 1 = 0

4 x^{3} - 3 x = \frac{1}{2}

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

What are the solutions to the equation 9y^4+65y^2-144=0 ?
The solutions to the equation 9y^4+65y^2-144=0 are y= 4/3 ,y=-4/3 ,y=3i,y=-3i
Find the zeros of 9y^4+65y^2-144=0
The zeros of 9y^4+65y^2-144=0 are y= 4/3 ,y=-4/3 ,y=3i,y=-3i