Solve 8b^43-300-641

Question

Simplify the expression

24 b^{4} - 941

Evaluate

8 b^{4} \times 3 - 300 - 641

Multiply the terms

24 b^{4} - 300 - 641

Solution

24 b^{4} - 941

Show Solution

b_{1} = - \frac{4 50814}{6}, b_{2} = \frac{4 50814}{6}

Alternative Form

b_{1} \approx - 2.50233, b_{2} \approx 2.50233

Evaluate

8 b^{4} \times 3 - 300 - 641

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

8 b^{4} \times 3 - 300 - 641 = 0

Multiply the terms

24 b^{4} - 300 - 641 = 0

Subtract the numbers

24 b^{4} - 941 = 0

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

24 b^{4} = 0 + 941

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

24 b^{4} = 941

Divide both sides

\frac{24 b ^{4}}{24} = \frac{941}{24}

Divide the numbers

b^{4} = \frac{941}{24}

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

b = \pm 4 \frac{941}{24}

Simplify the expression

More Steps

Evaluate

4 \frac{941}{24}

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

\frac{4 941}{4 24}

Multiply by the Conjugate

\frac{4 941 \times 4 2 4 ^{3}}{4 24 \times 4 2 4 ^{3}}

Simplify

\frac{4 941 \times 4 4 54}{4 24 \times 4 2 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

4941 \times 4454

Multiply the terms

450814 \times 4

Use the commutative property to reorder the terms

4450814

\frac{4 4 50814}{4 24 \times 4 2 4 ^{3}}

Multiply the numbers

More Steps

Evaluate

424 \times 4 2 4^{3}

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

4 24 \times 2 4^{3}

Calculate the product

4 2 4^{4}

Reduce the index of the radical and exponent with 4

24

\frac{4 4 50814}{24}

Cancel out the common factor 4

\frac{4 50814}{6}

b = \pm \frac{4 50814}{6}

Separate the equation into 2 possible cases

b = \frac{4 50814}{6} b = - \frac{4 50814}{6}

Solution

b_{1} = - \frac{4 50814}{6}, b_{2} = \frac{4 50814}{6}

Alternative Form

b_{1} \approx - 2.50233, b_{2} \approx 2.50233

Show Solution