What are the solutions to the equation 2x^7=3x^9 ?

The solutions to the equation 2x^7=3x^9 are x=0,x=-sqrt(2/3),x=sqrt(2/3)

Find the zeros of 2x^7=3x^9

The zeros of 2x^7=3x^9 are x=0,x=-sqrt(2/3),x=sqrt(2/3)

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2 x^{7} = 3 x^{9}

x = 0, x = - \frac{2}{3}, x = \frac{2}{3}

Decimal Notation

x = 0, x = - 0.81649 \dots, x = 0.81649 \dots

Solution steps

2 x^{7} = 3 x^{9}

Move

3 x^{9}

to the left side

2 x^{7} - 3 x^{9} = 0

Factor

2 x^{7} - 3 x^{9} : - x^{7} (3 x + 2) (3 x - 2)

- x^{7} (3 x + 2) (3 x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x + 2 = 0 or 3 x - 2 = 0

Solve

3 x + 2 = 0 : x = - \frac{2}{3}

Solve

3 x - 2 = 0 : x = \frac{2}{3}

The solutions are

x = 0, x = - \frac{2}{3}, x = \frac{2}{3}

4 x^{4} = 41 x^{2} - 100

x^{4} - 3 x^{3} + 5 x - 1 = 0

- 4 y^{3} + 34 y^{2} + 36 y - 516 = 0

143 = 8 - 5 y^{3}

5 x^{3} - 80 x = 0

What are the solutions to the equation 2x^7=3x^9 ?
The solutions to the equation 2x^7=3x^9 are x=0,x=-sqrt(2/3),x=sqrt(2/3)
Find the zeros of 2x^7=3x^9
The zeros of 2x^7=3x^9 are x=0,x=-sqrt(2/3),x=sqrt(2/3)