Solve 4b^5 = 15b - ScanMath

Question

Solve the equation

b_{1} = - \frac{4 60}{2}, b_{2} = 0, b_{3} = \frac{4 60}{2}

Alternative Form

b_{1} \approx - 1.391579, b_{2} = 0, b_{3} \approx 1.391579

Evaluate

4 b^{5} = 15 b

Add or subtract both sides

4 b^{5} - 15 b = 0

Factor the expression

b (4 b^{4} - 15) = 0

Separate the equation into 2 possible cases

b = 0 4 b^{4} - 15 = 0

Solve the equation

More Steps

Evaluate

4 b^{4} - 15 = 0

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

4 b^{4} = 0 + 15

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

4 b^{4} = 15

Divide both sides

\frac{4 b ^{4}}{4} = \frac{15}{4}

Divide the numbers

b^{4} = \frac{15}{4}

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

b = \pm 4 \frac{15}{4}

Simplify the expression

More Steps

Evaluate

4 \frac{15}{4}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{4 15}{4 4}

Simplify the radical expression

\frac{4 15}{2}

Multiply by the Conjugate

\frac{4 15 \times 2}{2 \times 2}

Multiply the numbers

\frac{4 60}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{4 60}{2}

b = \pm \frac{4 60}{2}

Separate the equation into 2 possible cases

b = \frac{4 60}{2} b = - \frac{4 60}{2}

b = 0 b = \frac{4 60}{2} b = - \frac{4 60}{2}

Solution

b_{1} = - \frac{4 60}{2}, b_{2} = 0, b_{3} = \frac{4 60}{2}

Alternative Form

b_{1} \approx - 1.391579, b_{2} = 0, b_{3} \approx 1.391579

Show Solution