Solve l^236-9 - ScanMath

Question

Simplify the expression

36 l^{2} - 9

Evaluate

l^{2} \times 36 - 9

Solution

36 l^{2} - 9

Show Solution

9 (2 l - 1) (2 l + 1)

Evaluate

l^{2} \times 36 - 9

Use the commutative property to reorder the terms

36 l^{2} - 9

Factor out 9 from the expression

9 (4 l^{2} - 1)

Solution

More Steps

Evaluate

4 l^{2} - 1

Rewrite the expression in exponential form

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

Use a^{2} - b^{2} = (a - b) (a + b) to factor the expression

(2 l - 1) (2 l + 1)

9 (2 l - 1) (2 l + 1)

Show Solution

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

Alternative Form

l_{1} = - 0.5, l_{2} = 0.5

Evaluate

l^{2} \times 36 - 9

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

l^{2} \times 36 - 9 = 0

Use the commutative property to reorder the terms

36 l^{2} - 9 = 0

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

36 l^{2} = 0 + 9

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

36 l^{2} = 9

Divide both sides

\frac{36 l ^{2}}{36} = \frac{9}{36}

Divide the numbers

l^{2} = \frac{9}{36}

Cancel out the common factor 9

l^{2} = \frac{1}{4}

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

l = \pm \frac{1}{4}

Simplify the expression

More Steps

Evaluate

\frac{1}{4}

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

\frac{1}{4}

Simplify the radical expression

\frac{1}{4}

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{1}{2}

l = \pm \frac{1}{2}

Separate the equation into 2 possible cases

l = \frac{1}{2} l = - \frac{1}{2}

Solution

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

Alternative Form

l_{1} = - 0.5, l_{2} = 0.5

Show Solution