What are the solutions to the equation 4m^4+5m^2-9=0 ?

The solutions to the equation 4m^4+5m^2-9=0 are m=1,m=-1,m= 3/2 i,m=-3/2 i

Find the zeros of 4m^4+5m^2-9=0

The zeros of 4m^4+5m^2-9=0 are m=1,m=-1,m= 3/2 i,m=-3/2 i

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4 m^{4} + 5 m^{2} - 9 = 0

m = 1, m = - 1, m = \frac{3}{2} i, m = - \frac{3}{2} i

Solution steps

4 m^{4} + 5 m^{2} - 9 = 0

Rewrite the equation with

u = m^{2}

and

u^{2} = m^{4}

4 u^{2} + 5 u - 9 = 0

Solve

4 u^{2} + 5 u - 9 = 0 : u = 1, u = - \frac{9}{4}

u = 1, u = - \frac{9}{4}

Substitute back

u = m^{2},

solve for

m

Solve

m^{2} = 1 : m = 1, m = - 1

Solve

m^{2} = - \frac{9}{4} : m = \frac{3}{2} i, m = - \frac{3}{2} i

The solutions are

m = 1, m = - 1, m = \frac{3}{2} i, m = - \frac{3}{2} i

x^{3} - 14 x^{2} + 12 x + 12 = 0

a, (\frac{a}{2})^{3} = 8 \cdot b

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

2 (x^{3} + 3 x^{2} + 12 x + 4) = 0

2 x^{4} + x^{3} + 3 x^{2} + 5 x + 10 = 0

What are the solutions to the equation 4m^4+5m^2-9=0 ?
The solutions to the equation 4m^4+5m^2-9=0 are m=1,m=-1,m= 3/2 i,m=-3/2 i
Find the zeros of 4m^4+5m^2-9=0
The zeros of 4m^4+5m^2-9=0 are m=1,m=-1,m= 3/2 i,m=-3/2 i