Solve 2a^3 = a 10

Calculator

Examples

DOWNLOAD FOR FREE

Example problems

Type your math problem... 2a^3 = a 10

Question

Solve the equation

a_{1} = - 5, a_{2} = 0, a_{3} = 5

Alternative Form

a_{1} \approx - 2.236068, a_{2} = 0, a_{3} \approx 2.236068

Evaluate

2 a^{3} = a \times 10

Use the commutative property to reorder the terms

2 a^{3} = 10 a

Add or subtract both sides

2 a^{3} - 10 a = 0

Factor the expression

2 a (a^{2} - 5) = 0

Divide both sides

a (a^{2} - 5) = 0

Separate the equation into 2 possible cases

a = 0 a^{2} - 5 = 0

Solve the equation

More Steps

Evaluate

a^{2} - 5 = 0

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

a^{2} = 0 + 5

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

a^{2} = 5

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

a = \pm 5

Separate the equation into 2 possible cases

a = 5 a = - 5

a = 0 a = 5 a = - 5

Solution

a_{1} = - 5, a_{2} = 0, a_{3} = 5

Alternative Form

a_{1} \approx - 2.236068, a_{2} = 0, a_{3} \approx 2.236068

Show Solution

English