Solve 2x 9=3x^5 - ScanMath

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Type your math problem... 2x 9=3x^5

Question

Solve the equation

x_{1} = - 46, x_{2} = 0, x_{3} = 46

Alternative Form

x_{1} \approx - 1.565085, x_{2} = 0, x_{3} \approx 1.565085

Evaluate

2 x \times 9 = 3 x^{5}

Multiply the terms

18 x = 3 x^{5}

Add or subtract both sides

18 x - 3 x^{5} = 0

Factor the expression

3 x (6 - x^{4}) = 0

Divide both sides

x (6 - x^{4}) = 0

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

Evaluate

6 - x^{4} = 0

Move the constant to the right-hand side and change its sign

- x^{4} = 0 - 6

Removing 0 doesn't change the value,so remove it from the expression

- x^{4} = - 6

Change the signs on both sides of the equation

x^{4} = 6

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 46

Separate the equation into 2 possible cases

x = 46 x = - 46

x = 0 x = 46 x = - 46

Solution

x_{1} = - 46, x_{2} = 0, x_{3} = 46

Alternative Form

x_{1} \approx - 1.565085, x_{2} = 0, x_{3} \approx 1.565085

Show Solution

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