What are the solutions to the equation 6x^5+20x^3=23x^4 ?

The solutions to the equation 6x^5+20x^3=23x^4 are x=0,x= 4/3 ,x= 5/2

Find the zeros of 6x^5+20x^3=23x^4

The zeros of 6x^5+20x^3=23x^4 are x=0,x= 4/3 ,x= 5/2

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6 x^{5} + 20 x^{3} = 23 x^{4}

x = 0, x = \frac{4}{3}, x = \frac{5}{2}

Solution steps

6 x^{5} + 20 x^{3} = 23 x^{4}

Move

23 x^{4}

to the left side

6 x^{5} + 20 x^{3} - 23 x^{4} = 0

Factor

6 x^{5} + 20 x^{3} - 23 x^{4} : x^{3} (3 x - 4) (2 x - 5)

x^{3} (3 x - 4) (2 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x - 4 = 0 or 2 x - 5 = 0

Solve

3 x - 4 = 0 : x = \frac{4}{3}

Solve

2 x - 5 = 0 : x = \frac{5}{2}

The solutions are

x = 0, x = \frac{4}{3}, x = \frac{5}{2}

x^{7} + 1 = 0

x^{6} + 9 x^{3} - 5 = 0

2 x^{3} - x + 12 = x^{4}

4 x^{3} - 12 x^{2} + 9 x = 0

0.16 = (1 + x)^{3} - 1

What are the solutions to the equation 6x^5+20x^3=23x^4 ?
The solutions to the equation 6x^5+20x^3=23x^4 are x=0,x= 4/3 ,x= 5/2
Find the zeros of 6x^5+20x^3=23x^4
The zeros of 6x^5+20x^3=23x^4 are x=0,x= 4/3 ,x= 5/2