What is the answer to solvefor x,15x^{2.13}+xx^3=0 ?

The answer to solvefor x,15x^{2.13}+xx^3=0 is x=0

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solvefor x,15x^{2.13}+xx^3=0

x, 15 x^{2.13} + x x^{3} = 0

x = 0

Solution steps

15 x^{2.13} + x x^{3} = 0

Expand

15 x^{2.13} + x x^{3} : 15 x^{2.13} + x^{4}

15 x^{2.13} + x^{4} = 0

Use the following exponent property

: a^{n} = (a^{\frac{1}{m}})^{(n \cdot m)}

x^{2.13} = (x^{\frac{1}{100}})^{(2.13 \cdot 100)}, x^{4} = (x^{\frac{1}{100}})^{(4 \cdot 100)}

15 (x^{\frac{1}{100}})^{213} + (x^{\frac{1}{100}})^{400} = 0

Rewrite the equation with

x^{\frac{1}{100}} = u

15 u^{213} + u^{400} = 0

Solve

Substitute back

u = x^{\frac{1}{100}},

solve for

x

Solve

x^{\frac{1}{100}} = 0 : x = 0

Solve

No Solution for

x \in R

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

7 x = x

x - 13 x + 30 = 0

2 x + 5 x - 12 = 0

6 = 2 π \frac{x}{9.8}

x^{(\frac{1}{2})} = 0.358

What is the answer to solvefor x,15x^{2.13}+xx^3=0 ?
The answer to solvefor x,15x^{2.13}+xx^3=0 is x=0