Solve 302b^460-4 - ScanMath

Question

Simplify the expression

18120 b^{4} - 4

Evaluate

302 b^{4} \times 60 - 4

Solution

18120 b^{4} - 4

Show Solution

4 (4530 b^{4} - 1)

Evaluate

302 b^{4} \times 60 - 4

Multiply the terms

18120 b^{4} - 4

Solution

4 (4530 b^{4} - 1)

Show Solution

b_{1} = - \frac{4 453 0 ^{3}}{4530}, b_{2} = \frac{4 453 0 ^{3}}{4530}

Alternative Form

b_{1} \approx - 0.121892, b_{2} \approx 0.121892

Evaluate

302 b^{4} \times 60 - 4

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

302 b^{4} \times 60 - 4 = 0

Multiply the terms

18120 b^{4} - 4 = 0

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

18120 b^{4} = 0 + 4

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

18120 b^{4} = 4

Divide both sides

\frac{18120 b ^{4}}{18120} = \frac{4}{18120}

Divide the numbers

b^{4} = \frac{4}{18120}

Cancel out the common factor 4

b^{4} = \frac{1}{4530}

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

b = \pm 4 \frac{1}{4530}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{4530}

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

\frac{4 1}{4 4530}

Simplify the radical expression

\frac{1}{4 4530}

Multiply by the Conjugate

\frac{4 453 0 ^{3}}{4 4530 \times 4 453 0 ^{3}}

Multiply the numbers

More Steps

Evaluate

44530 \times 4 453 0^{3}

The product of roots with the same index is equal to the root of the product

4 4530 \times 453 0^{3}

Calculate the product

4 453 0^{4}

Reduce the index of the radical and exponent with 4

4530

\frac{4 453 0 ^{3}}{4530}

b = \pm \frac{4 453 0 ^{3}}{4530}

Separate the equation into 2 possible cases

b = \frac{4 453 0 ^{3}}{4530} b = - \frac{4 453 0 ^{3}}{4530}

Solution

b_{1} = - \frac{4 453 0 ^{3}}{4530}, b_{2} = \frac{4 453 0 ^{3}}{4530}

Alternative Form

b_{1} \approx - 0.121892, b_{2} \approx 0.121892

Show Solution