Solve l^225-27 - ScanMath

Question

Simplify the expression

25 l^{2} - 27

Evaluate

l^{2} \times 25 - 27

Solution

25 l^{2} - 27

Show Solution

l_{1} = - \frac{3 3}{5}, l_{2} = \frac{3 3}{5}

Alternative Form

l_{1} \approx - 1.03923, l_{2} \approx 1.03923

Evaluate

l^{2} \times 25 - 27

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

l^{2} \times 25 - 27 = 0

Use the commutative property to reorder the terms

25 l^{2} - 27 = 0

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

25 l^{2} = 0 + 27

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

25 l^{2} = 27

Divide both sides

\frac{25 l ^{2}}{25} = \frac{27}{25}

Divide the numbers

l^{2} = \frac{27}{25}

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

l = \pm \frac{27}{25}

Simplify the expression

More Steps

Evaluate

\frac{27}{25}

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

\frac{27}{25}

Simplify the radical expression

More Steps

Evaluate

27

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

9 \times 3

Write the number in exponential form with the base of 3

3^{2} \times 3

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

3^{2} \times 3

Reduce the index of the radical and exponent with 2

33

\frac{3 3}{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{3 3}{5}

l = \pm \frac{3 3}{5}

Separate the equation into 2 possible cases

l = \frac{3 3}{5} l = - \frac{3 3}{5}

Solution

l_{1} = - \frac{3 3}{5}, l_{2} = \frac{3 3}{5}

Alternative Form

l_{1} \approx - 1.03923, l_{2} \approx 1.03923

Show Solution