What are the solutions to the equation 7x^2-144=-x^4 ?

The solutions to the equation 7x^2-144=-x^4 are x=4i,x=-4i,x=3,x=-3

Find the zeros of 7x^2-144=-x^4

The zeros of 7x^2-144=-x^4 are x=4i,x=-4i,x=3,x=-3

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7 x^{2} - 144 = - x^{4}

x = 4 i, x = - 4 i, x = 3, x = - 3

Solution steps

7 x^{2} - 144 = - x^{4}

Switch sides

- x^{4} = 7 x^{2} - 144

Move

144

to the left side

- x^{4} + 144 = 7 x^{2}

Move

7 x^{2}

to the left side

- x^{4} + 144 - 7 x^{2} = 0

Write in the standard form

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

- x^{4} - 7 x^{2} + 144 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

- u^{2} - 7 u + 144 = 0

Solve

- u^{2} - 7 u + 144 = 0 : u = - 16, u = 9

u = - 16, u = 9

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = - 16 : x = 4 i, x = - 4 i

Solve

x^{2} = 9 : x = 3, x = - 3

The solutions are

x = 4 i, x = - 4 i, x = 3, x = - 3

x^{3} - 13 x^{2} + 52 x - 60 = 0

- x^{3} + 14 x^{2} - 59 x + 70 = 0

y, 4 x^{3} - 16 y = 0

x^{4} - x^{2} + (\frac{1}{4}) = 0

5 x^{4} + 15 x^{2} + 50 = 0

What are the solutions to the equation 7x^2-144=-x^4 ?
The solutions to the equation 7x^2-144=-x^4 are x=4i,x=-4i,x=3,x=-3
Find the zeros of 7x^2-144=-x^4
The zeros of 7x^2-144=-x^4 are x=4i,x=-4i,x=3,x=-3