Solve 1 + 2b^4b + 9 - Socratic AI (ScanMath)

Question

Simplify the expression

10 + 2 b^{5}

Evaluate

1 + 2 b^{4} \times b + 9

Multiply

More Steps

Multiply the terms

2 b^{4} \times b

Multiply the terms with the same base by adding their exponents

2 b^{4 + 1}

Add the numbers

2 b^{5}

1 + 2 b^{5} + 9

Solution

10 + 2 b^{5}

Show Solution

2 (5 + b^{5})

Evaluate

1 + 2 b^{4} \times b + 9

Multiply

More Steps

Multiply the terms

2 b^{4} \times b

Multiply the terms with the same base by adding their exponents

2 b^{4 + 1}

Add the numbers

2 b^{5}

1 + 2 b^{5} + 9

Add the numbers

10 + 2 b^{5}

Solution

2 (5 + b^{5})

Show Solution

b = - 55

Alternative Form

b \approx - 1.37973

Evaluate

1 + 2 b^{4} \times b + 9

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

1 + 2 b^{4} \times b + 9 = 0

Multiply

More Steps

Multiply the terms

2 b^{4} \times b

Multiply the terms with the same base by adding their exponents

2 b^{4 + 1}

Add the numbers

2 b^{5}

1 + 2 b^{5} + 9 = 0

Add the numbers

10 + 2 b^{5} = 0

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

2 b^{5} = 0 - 10

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

2 b^{5} = - 10

Divide both sides

\frac{2 b ^{5}}{2} = \frac{- 10}{2}

Divide the numbers

b^{5} = \frac{- 10}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 10}{2}

Reduce the numbers

\frac{- 5}{1}

Calculate

- 5

b^{5} = - 5

Take the 5 -th root on both sides of the equation

5 b^{5} = 5 - 5

Calculate

b = 5 - 5

Solution

b = - 55

Alternative Form

b \approx - 1.37973

Show Solution