What are the solutions to the equation 3x^4=375x ?

The solutions to the equation 3x^4=375x are x=0,x=5,x=-5/2+i(5sqrt(3))/2 ,x=-5/2-i(5sqrt(3))/2

Find the zeros of 3x^4=375x

The zeros of 3x^4=375x are x=0,x=5,x=-5/2+i(5sqrt(3))/2 ,x=-5/2-i(5sqrt(3))/2

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3 x^{4} = 375 x

x = 0, x = 5, x = - \frac{5}{2} + i \frac{5 3}{2}, x = - \frac{5}{2} - i \frac{5 3}{2}

Solution steps

3 x^{4} = 375 x

Move

375 x

to the left side

3 x^{4} - 375 x = 0

Factor

3 x^{4} - 375 x : 3 x (x - 5) (x^{2} + 5 x + 25)

3 x (x - 5) (x^{2} + 5 x + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 5 = 0 or x^{2} + 5 x + 25 = 0

Solve

x - 5 = 0 : x = 5

Solve

x^{2} + 5 x + 25 = 0 : x = - \frac{5}{2} + i \frac{5 3}{2}, x = - \frac{5}{2} - i \frac{5 3}{2}

The solutions are

x = 0, x = 5, x = - \frac{5}{2} + i \frac{5 3}{2}, x = - \frac{5}{2} - i \frac{5 3}{2}

(x^{6})^{7} = (7.9)^{42}

3 x^{3} + 11 x^{2} + 6 x = 0

x^{3} + 4 x^{2} + 4 x + 16 = 0

x^{3} - 25 x^{2} = 0

4 s^{3} + 36 s^{2} + 128 s + 128 = 0

What are the solutions to the equation 3x^4=375x ?
The solutions to the equation 3x^4=375x are x=0,x=5,x=-5/2+i(5sqrt(3))/2 ,x=-5/2-i(5sqrt(3))/2
Find the zeros of 3x^4=375x
The zeros of 3x^4=375x are x=0,x=5,x=-5/2+i(5sqrt(3))/2 ,x=-5/2-i(5sqrt(3))/2