Solve \left(x 1\right)^4 \left(x 1\right)^2-6=0

Calculator

Examples

DOWNLOAD FOR FREE

Example problems

Type your math problem... \left(x 1\right)^4 \left(x 1\right)^2-6=0

Question

Solve the equation

x_{1} = - 66, x_{2} = 66

Alternative Form

x_{1} \approx - 1.348006, x_{2} \approx 1.348006

Evaluate

(x \times 1)^{4} (x \times 1)^{2} - 6 = 0

Simplify

More Steps

Evaluate

(x \times 1)^{4} (x \times 1)^{2} - 6

Any expression multiplied by 1 remains the same

x^{4} (x \times 1)^{2} - 6

Any expression multiplied by 1 remains the same

x^{4} \times x^{2} - 6

Multiply the terms

More Steps

Evaluate

x^{4} \times x^{2}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

x^{4 + 2}

Add the numbers

x^{6}

x^{6} - 6

x^{6} - 6 = 0

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

x^{6} = 0 + 6

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

x^{6} = 6

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

x = \pm 66

Separate the equation into 2 possible cases

x = 66 x = - 66

Solution

x_{1} = - 66, x_{2} = 66

Alternative Form

x_{1} \approx - 1.348006, x_{2} \approx 1.348006

Show Solution

English