What are the solutions to the equation 5x^4=6x^2 ?

The solutions to the equation 5x^4=6x^2 are x=0,x=-sqrt(6/5),x=sqrt(6/5)

Find the zeros of 5x^4=6x^2

The zeros of 5x^4=6x^2 are x=0,x=-sqrt(6/5),x=sqrt(6/5)

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5 x^{4} = 6 x^{2}

x = 0, x = - \frac{6}{5}, x = \frac{6}{5}

Decimal Notation

x = 0, x = - 1.09544 \dots, x = 1.09544 \dots

Solution steps

5 x^{4} = 6 x^{2}

Move

6 x^{2}

to the left side

5 x^{4} - 6 x^{2} = 0

Factor

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

x^{2} (5 x + 6) (5 x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 5 x + 6 = 0 or 5 x - 6 = 0

Solve

5 x + 6 = 0 : x = - \frac{6}{5}

Solve

5 x - 6 = 0 : x = \frac{6}{5}

The solutions are

x = 0, x = - \frac{6}{5}, x = \frac{6}{5}

2 x^{3} + x^{2} + 18 x + 9 = 0

64 a^{6} - 112 a^{4} + 56 a^{2} - 7 = 0

4 x^{2} + 8 x^{4} = (x^{2} + 2 x + 1)

4 x^{3} - 27 x^{2} - 11 x - 1 = 0

(1 - m)^{3} = \frac{1}{3}

What are the solutions to the equation 5x^4=6x^2 ?
The solutions to the equation 5x^4=6x^2 are x=0,x=-sqrt(6/5),x=sqrt(6/5)
Find the zeros of 5x^4=6x^2
The zeros of 5x^4=6x^2 are x=0,x=-sqrt(6/5),x=sqrt(6/5)