Solve l^2121-1 - ScanMath

Question

Simplify the expression

121 l^{2} - 1

Evaluate

l^{2} \times 121 - 1

Solution

121 l^{2} - 1

Show Solution

(11 l - 1) (11 l + 1)

Evaluate

l^{2} \times 121 - 1

Use the commutative property to reorder the terms

121 l^{2} - 1

Rewrite the expression in exponential form

(11 l)^{2} - 1^{2}

Solution

(11 l - 1) (11 l + 1)

Show Solution

l_{1} = - \frac{1}{11}, l_{2} = \frac{1}{11}

Alternative Form

l_{1} = - 0. \dot{0} \dot{9}, l_{2} = 0. \dot{0} \dot{9}

Evaluate

l^{2} \times 121 - 1

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

l^{2} \times 121 - 1 = 0

Use the commutative property to reorder the terms

121 l^{2} - 1 = 0

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

121 l^{2} = 0 + 1

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

121 l^{2} = 1

Divide both sides

\frac{121 l ^{2}}{121} = \frac{1}{121}

Divide the numbers

l^{2} = \frac{1}{121}

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

l = \pm \frac{1}{121}

Simplify the expression

More Steps

Evaluate

\frac{1}{121}

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

\frac{1}{121}

Simplify the radical expression

\frac{1}{121}

Simplify the radical expression

More Steps

Evaluate

121

Write the number in exponential form with the base of 11

1 1^{2}

Reduce the index of the radical and exponent with 2

11

\frac{1}{11}

l = \pm \frac{1}{11}

Separate the equation into 2 possible cases

l = \frac{1}{11} l = - \frac{1}{11}

Solution

l_{1} = - \frac{1}{11}, l_{2} = \frac{1}{11}

Alternative Form

l_{1} = - 0. \dot{0} \dot{9}, l_{2} = 0. \dot{0} \dot{9}

Show Solution