Solve b^65-30-0 - ScanMath

Question

Simplify the expression

5 b^{6} - 30

Evaluate

b^{6} \times 5 - 30 - 0

Use the commutative property to reorder the terms

5 b^{6} - 30 - 0

Solution

5 b^{6} - 30

Show Solution

5 (b^{6} - 6)

Evaluate

b^{6} \times 5 - 30 - 0

Use the commutative property to reorder the terms

5 b^{6} - 30 - 0

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

5 b^{6} - 30

Solution

5 (b^{6} - 6)

Show Solution

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

Alternative Form

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

Evaluate

b^{6} \times 5 - 30 - 0

To find the roots of the expression,set the expression equal to 0

b^{6} \times 5 - 30 - 0 = 0

Use the commutative property to reorder the terms

5 b^{6} - 30 - 0 = 0

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

5 b^{6} - 30 = 0

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

5 b^{6} = 0 + 30

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

5 b^{6} = 30

Divide both sides

\frac{5 b ^{6}}{5} = \frac{30}{5}

Divide the numbers

b^{6} = \frac{30}{5}

Divide the numbers

More Steps

Evaluate

\frac{30}{5}

Reduce the numbers

\frac{6}{1}

Calculate

6

b^{6} = 6

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

b = \pm 66

Separate the equation into 2 possible cases

b = 66 b = - 66

Solution

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

Alternative Form

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

Show Solution