Solve l^225-64 - ScanMath

Question

Simplify the expression

25 l^{2} - 64

Evaluate

l^{2} \times 25 - 64

Solution

25 l^{2} - 64

Show Solution

(5 l - 8) (5 l + 8)

Evaluate

l^{2} \times 25 - 64

Use the commutative property to reorder the terms

25 l^{2} - 64

Rewrite the expression in exponential form

(5 l)^{2} - 8^{2}

Solution

(5 l - 8) (5 l + 8)

Show Solution

l_{1} = - \frac{8}{5}, l_{2} = \frac{8}{5}

Alternative Form

l_{1} = - 1.6, l_{2} = 1.6

Evaluate

l^{2} \times 25 - 64

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

l^{2} \times 25 - 64 = 0

Use the commutative property to reorder the terms

25 l^{2} - 64 = 0

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

25 l^{2} = 0 + 64

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

25 l^{2} = 64

Divide both sides

\frac{25 l ^{2}}{25} = \frac{64}{25}

Divide the numbers

l^{2} = \frac{64}{25}

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

l = \pm \frac{64}{25}

Simplify the expression

More Steps

Evaluate

\frac{64}{25}

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

\frac{64}{25}

Simplify the radical expression

More Steps

Evaluate

64

Write the number in exponential form with the base of 8

8^{2}

Reduce the index of the radical and exponent with 2

8

\frac{8}{25}

Simplify the radical expression

More Steps

Evaluate

25

Write the number in exponential form with the base of 5

5^{2}

Reduce the index of the radical and exponent with 2

5

\frac{8}{5}

l = \pm \frac{8}{5}

Separate the equation into 2 possible cases

l = \frac{8}{5} l = - \frac{8}{5}

Solution

l_{1} = - \frac{8}{5}, l_{2} = \frac{8}{5}

Alternative Form

l_{1} = - 1.6, l_{2} = 1.6

Show Solution