Solve b^2792-1 - ScanMath

Question

Simplify the expression

792 b^{2} - 1

Evaluate

b^{2} \times 792 - 1

Solution

792 b^{2} - 1

Show Solution

b_{1} = - \frac{22}{132}, b_{2} = \frac{22}{132}

Alternative Form

b_{1} \approx - 0.035533, b_{2} \approx 0.035533

Evaluate

b^{2} \times 792 - 1

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

b^{2} \times 792 - 1 = 0

Use the commutative property to reorder the terms

792 b^{2} - 1 = 0

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

792 b^{2} = 0 + 1

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

792 b^{2} = 1

Divide both sides

\frac{792 b ^{2}}{792} = \frac{1}{792}

Divide the numbers

b^{2} = \frac{1}{792}

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

b = \pm \frac{1}{792}

Simplify the expression

More Steps

Evaluate

\frac{1}{792}

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

\frac{1}{792}

Simplify the radical expression

\frac{1}{792}

Simplify the radical expression

More Steps

Evaluate

792

Write the expression as a product where the root of one of the factors can be evaluated

36 \times 22

Write the number in exponential form with the base of 6

6^{2} \times 22

The root of a product is equal to the product of the roots of each factor

6^{2} \times 22

Reduce the index of the radical and exponent with 2

622

\frac{1}{6 22}

Multiply by the Conjugate

\frac{22}{6 22 \times 22}

Multiply the numbers

More Steps

Evaluate

622 \times 22

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

6 \times 22

Multiply the terms

132

\frac{22}{132}

b = \pm \frac{22}{132}

Separate the equation into 2 possible cases

b = \frac{22}{132} b = - \frac{22}{132}

Solution

b_{1} = - \frac{22}{132}, b_{2} = \frac{22}{132}

Alternative Form

b_{1} \approx - 0.035533, b_{2} \approx 0.035533

Show Solution