Solve b^47192-1 - ScanMath

Question

Simplify the expression

7192 b^{4} - 1

Evaluate

b^{4} \times 7192 - 1

Solution

7192 b^{4} - 1

Show Solution

b_{1} = - \frac{4 719 2 ^{3}}{7192}, b_{2} = \frac{4 719 2 ^{3}}{7192}

Alternative Form

b_{1} \approx - 0.108589, b_{2} \approx 0.108589

Evaluate

b^{4} \times 7192 - 1

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

b^{4} \times 7192 - 1 = 0

Use the commutative property to reorder the terms

7192 b^{4} - 1 = 0

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

7192 b^{4} = 0 + 1

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

7192 b^{4} = 1

Divide both sides

\frac{7192 b ^{4}}{7192} = \frac{1}{7192}

Divide the numbers

b^{4} = \frac{1}{7192}

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

b = \pm 4 \frac{1}{7192}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{7192}

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

\frac{4 1}{4 7192}

Simplify the radical expression

\frac{1}{4 7192}

Multiply by the Conjugate

\frac{4 719 2 ^{3}}{4 7192 \times 4 719 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

47192 \times 4 719 2^{3}

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

4 7192 \times 719 2^{3}

Calculate the product

4 719 2^{4}

Reduce the index of the radical and exponent with 4

7192

\frac{4 719 2 ^{3}}{7192}

b = \pm \frac{4 719 2 ^{3}}{7192}

Separate the equation into 2 possible cases

b = \frac{4 719 2 ^{3}}{7192} b = - \frac{4 719 2 ^{3}}{7192}

Solution

b_{1} = - \frac{4 719 2 ^{3}}{7192}, b_{2} = \frac{4 719 2 ^{3}}{7192}

Alternative Form

b_{1} \approx - 0.108589, b_{2} \approx 0.108589

Show Solution