What are the solutions to the equation roots 2mx^4+3nx^4+10m+15n ?

The solutions to the equation roots 2mx^4+3nx^4+10m+15n are

Find the zeros of roots 2mx^4+3nx^4+10m+15n

The zeros of roots 2mx^4+3nx^4+10m+15n are

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

2 m x^{4} + 3 n x^{4} + 10 m + 15 n

Solution steps

2 m x^{4} + 3 n x^{4} + 10 m + 15 n

The roots are the intercepts with the x-axis

(y = 0)

2 m x^{4} + 3 n x^{4} + 10 m + 15 n = 0

Move

10 m

to the right side

2 m x^{4} + 3 n x^{4} + 15 n = - 10 m

Move

15 n

to the right side

2 m x^{4} + 3 n x^{4} = - 10 m - 15 n

Factor

2 m x^{4} + 3 n x^{4} : x^{4} (2 m + 3 n)

x^{4} (2 m + 3 n) = - 10 m - 15 n

Divide both sides by

2 m + 3 n; m \neq = - \frac{3 n}{2}

x^{4} = - 5; m \neq = - \frac{3 n}{2}

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = - 5

Solve

u^{2} = - 5 : u = 5 i, u = - 5 i

u = 5 i, u = - 5 i

Substitute back

u = x^{2},

solve for

x

Solve

The solutions are

A, A^{4} t = m - R^{2}

x^{3} + 4 x

x^{3} - 23 x^{2} + 22 x = 0

9 x^{8} - 72 x^{7} = 0

x^{3} - 2 x^{2} - 19 x + 20 = 0

What are the solutions to the equation roots 2mx^4+3nx^4+10m+15n ?
The solutions to the equation roots 2mx^4+3nx^4+10m+15n are
Find the zeros of roots 2mx^4+3nx^4+10m+15n
The zeros of roots 2mx^4+3nx^4+10m+15n are