Solve b^52 b-36 - ScanMath

Question

Simplify the expression

2 b^{6} - 36

Evaluate

b^{5} \times 2 b - 36

Solution

More Steps

Evaluate

b^{5} \times 2 b

Multiply the terms with the same base by adding their exponents

b^{5 + 1} \times 2

Add the numbers

b^{6} \times 2

Use the commutative property to reorder the terms

2 b^{6}

2 b^{6} - 36

Show Solution

2 (b^{6} - 18)

Evaluate

b^{5} \times 2 b - 36

Multiply

More Steps

Evaluate

b^{5} \times 2 b

Multiply the terms with the same base by adding their exponents

b^{5 + 1} \times 2

Add the numbers

b^{6} \times 2

Use the commutative property to reorder the terms

2 b^{6}

2 b^{6} - 36

Solution

2 (b^{6} - 18)

Show Solution

b_{1} = - 618, b_{2} = 618

Alternative Form

b_{1} \approx - 1.61887, b_{2} \approx 1.61887

Evaluate

b^{5} \times 2 b - 36

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

b^{5} \times 2 b - 36 = 0

Multiply

More Steps

Multiply the terms

b^{5} \times 2 b

Multiply the terms with the same base by adding their exponents

b^{5 + 1} \times 2

Add the numbers

b^{6} \times 2

Use the commutative property to reorder the terms

2 b^{6}

2 b^{6} - 36 = 0

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

2 b^{6} = 0 + 36

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

2 b^{6} = 36

Divide both sides

\frac{2 b ^{6}}{2} = \frac{36}{2}

Divide the numbers

b^{6} = \frac{36}{2}

Divide the numbers

More Steps

Evaluate

\frac{36}{2}

Reduce the numbers

\frac{18}{1}

Calculate

18

b^{6} = 18

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

b = \pm 618

Separate the equation into 2 possible cases

b = 618 b = - 618

Solution

b_{1} = - 618, b_{2} = 618

Alternative Form

b_{1} \approx - 1.61887, b_{2} \approx 1.61887

Show Solution