Solve l^2252-1 - ScanMath

Question

Simplify the expression

252 l^{2} - 1

Evaluate

l^{2} \times 252 - 1

Solution

252 l^{2} - 1

Show Solution

l_{1} = - \frac{7}{42}, l_{2} = \frac{7}{42}

Alternative Form

l_{1} \approx - 0.062994, l_{2} \approx 0.062994

Evaluate

l^{2} \times 252 - 1

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

l^{2} \times 252 - 1 = 0

Use the commutative property to reorder the terms

252 l^{2} - 1 = 0

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

252 l^{2} = 0 + 1

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

252 l^{2} = 1

Divide both sides

\frac{252 l ^{2}}{252} = \frac{1}{252}

Divide the numbers

l^{2} = \frac{1}{252}

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

l = \pm \frac{1}{252}

Simplify the expression

More Steps

Evaluate

\frac{1}{252}

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

\frac{1}{252}

Simplify the radical expression

\frac{1}{252}

Simplify the radical expression

More Steps

Evaluate

252

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

36 \times 7

Write the number in exponential form with the base of 6

6^{2} \times 7

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

6^{2} \times 7

Reduce the index of the radical and exponent with 2

67

\frac{1}{6 7}

Multiply by the Conjugate

\frac{7}{6 7 \times 7}

Multiply the numbers

More Steps

Evaluate

67 \times 7

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

6 \times 7

Multiply the terms

42

\frac{7}{42}

l = \pm \frac{7}{42}

Separate the equation into 2 possible cases

l = \frac{7}{42} l = - \frac{7}{42}

Solution

l_{1} = - \frac{7}{42}, l_{2} = \frac{7}{42}

Alternative Form

l_{1} \approx - 0.062994, l_{2} \approx 0.062994

Show Solution