What are the solutions to the equation 5x^3+2x^3+3x^6=39 ?

The solutions to the equation 5x^3+2x^3+3x^6=39 are

Find the zeros of 5x^3+2x^3+3x^6=39

The zeros of 5x^3+2x^3+3x^6=39 are

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5 x^{3} + 2 x^{3} + 3 x^{6} = 39

Solution steps

5 x^{3} + 2 x^{3} + 3 x^{6} = 39

Refine

7 x^{3} + 3 x^{6} = 39

Move

39

to the left side

7 x^{3} + 3 x^{6} - 39 = 0

Write in the standard form

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

3 x^{6} + 7 x^{3} - 39 = 0

Rewrite the equation with

u = x^{3}

and

u^{2} = x^{6}

3 u^{2} + 7 u - 39 = 0

Solve

3 u^{2} + 7 u - 39 = 0 : u = \frac{- 7 + 517}{6}, u = \frac{- 7 - 517}{6}

u = \frac{- 7 + 517}{6}, u = \frac{- 7 - 517}{6}

Substitute back

u = x^{3},

solve for

x

Solve

The solutions are

5 p (2 p - 3) (p + 7) = 0

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

3 x^{3} - 27 x^{2} + 54 x = 0

x^{3} - 88 x + 96 = 0

- λ^{3} + 2 λ^{2} + 9 λ - 18 = 0

What are the solutions to the equation 5x^3+2x^3+3x^6=39 ?
The solutions to the equation 5x^3+2x^3+3x^6=39 are
Find the zeros of 5x^3+2x^3+3x^6=39
The zeros of 5x^3+2x^3+3x^6=39 are