Solve l^2142-8 - ScanMath

Question

Simplify the expression

142 l^{2} - 8

Evaluate

l^{2} \times 142 - 8

Solution

142 l^{2} - 8

Show Solution

2 (71 l^{2} - 4)

Evaluate

l^{2} \times 142 - 8

Use the commutative property to reorder the terms

142 l^{2} - 8

Solution

2 (71 l^{2} - 4)

Show Solution

l_{1} = - \frac{2 71}{71}, l_{2} = \frac{2 71}{71}

Alternative Form

l_{1} \approx - 0.237356, l_{2} \approx 0.237356

Evaluate

l^{2} \times 142 - 8

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

l^{2} \times 142 - 8 = 0

Use the commutative property to reorder the terms

142 l^{2} - 8 = 0

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

142 l^{2} = 0 + 8

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

142 l^{2} = 8

Divide both sides

\frac{142 l ^{2}}{142} = \frac{8}{142}

Divide the numbers

l^{2} = \frac{8}{142}

Cancel out the common factor 2

l^{2} = \frac{4}{71}

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

l = \pm \frac{4}{71}

Simplify the expression

More Steps

Evaluate

\frac{4}{71}

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

\frac{4}{71}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{2}{71}

Multiply by the Conjugate

\frac{2 71}{71 \times 71}

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

\frac{2 71}{71}

l = \pm \frac{2 71}{71}

Separate the equation into 2 possible cases

l = \frac{2 71}{71} l = - \frac{2 71}{71}

Solution

l_{1} = - \frac{2 71}{71}, l_{2} = \frac{2 71}{71}

Alternative Form

l_{1} \approx - 0.237356, l_{2} \approx 0.237356

Show Solution