What are the solutions to the equation roots x^2n^3+x^2m^3+m^5n^4 ?

The solutions to the equation roots x^2n^3+x^2m^3+m^5n^4 are

Find the zeros of roots x^2n^3+x^2m^3+m^5n^4

The zeros of roots x^2n^3+x^2m^3+m^5n^4 are

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roots

x^{2} n^{3} + x^{2} m^{3} + m^{5} n^{4}

x = i \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}, x = - i \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}; n \neq = - m, n \neq = - \frac{m ( - 1 + 3 i )}{2}, n \neq = - \frac{m ( - 1 - 3 i )}{2}

Solution steps

x^{2} n^{3} + x^{2} m^{3} + m^{5} n^{4}

The roots are the intercepts with the x-axis

(y = 0)

x^{2} n^{3} + x^{2} m^{3} + m^{5} n^{4} = 0

Move

m^{5} n^{4}

to the right side

x^{2} n^{3} + x^{2} m^{3} = - n^{4} m^{5}

Factor

x^{2} n^{3} + x^{2} m^{3} : x^{2} (n^{3} + m^{3})

x^{2} (n^{3} + m^{3}) = - n^{4} m^{5}

Divide both sides by

n^{3} + m^{3}; n \neq = - m, n \neq = - \frac{m ( - 1 + 3 i )}{2}, n \neq = - \frac{m ( - 1 - 3 i )}{2}

x^{2} = - \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}; n \neq = - m, n \neq = - \frac{m ( - 1 + 3 i )}{2}, n \neq = - \frac{m ( - 1 - 3 i )}{2}

For

x^{2} = f (a)

the solutions are

x = f (a), - f (a)

x = - \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}, x = - - \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}; n \neq = - m, n \neq = - \frac{m ( - 1 + 3 i )}{2}, n \neq = - \frac{m ( - 1 - 3 i )}{2}

Simplify

- \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}} : i \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}

Simplify

- - \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}} : - i \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}

x = i \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}, x = - i \frac{n ^{4} m ^{5}}{n ^{3} + m ^{3}}; n \neq = - m, n \neq = - \frac{m ( - 1 + 3 i )}{2}, n \neq = - \frac{m ( - 1 - 3 i )}{2}

(2 x + 2)^{2} + 5 = 1

y, x^{2} + x y - y^{2} = 0

y, x^{2} + x y - y^{2} = 1

3 t^{2} - 24 t + 21 = 0

x^{2} + 26 x + 167.5 = 0

What are the solutions to the equation roots x^2n^3+x^2m^3+m^5n^4 ?
The solutions to the equation roots x^2n^3+x^2m^3+m^5n^4 are
Find the zeros of roots x^2n^3+x^2m^3+m^5n^4
The zeros of roots x^2n^3+x^2m^3+m^5n^4 are