Solve l^2132-1 - ScanMath

Question

Simplify the expression

132 l^{2} - 1

Evaluate

l^{2} \times 132 - 1

Solution

132 l^{2} - 1

Show Solution

l_{1} = - \frac{33}{66}, l_{2} = \frac{33}{66}

Alternative Form

l_{1} \approx - 0.087039, l_{2} \approx 0.087039

Evaluate

l^{2} \times 132 - 1

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

l^{2} \times 132 - 1 = 0

Use the commutative property to reorder the terms

132 l^{2} - 1 = 0

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

132 l^{2} = 0 + 1

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

132 l^{2} = 1

Divide both sides

\frac{132 l ^{2}}{132} = \frac{1}{132}

Divide the numbers

l^{2} = \frac{1}{132}

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

l = \pm \frac{1}{132}

Simplify the expression

More Steps

Evaluate

\frac{1}{132}

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

\frac{1}{132}

Simplify the radical expression

\frac{1}{132}

Simplify the radical expression

More Steps

Evaluate

132

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

4 \times 33

Write the number in exponential form with the base of 2

2^{2} \times 33

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

2^{2} \times 33

Reduce the index of the radical and exponent with 2

233

\frac{1}{2 33}

Multiply by the Conjugate

\frac{33}{2 33 \times 33}

Multiply the numbers

More Steps

Evaluate

233 \times 33

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

2 \times 33

Multiply the terms

66

\frac{33}{66}

l = \pm \frac{33}{66}

Separate the equation into 2 possible cases

l = \frac{33}{66} l = - \frac{33}{66}

Solution

l_{1} = - \frac{33}{66}, l_{2} = \frac{33}{66}

Alternative Form

l_{1} \approx - 0.087039, l_{2} \approx 0.087039

Show Solution