Solve l^225-209-2

Question

Simplify the expression

25 l^{2} - 211

Evaluate

l^{2} \times 25 - 209 - 2

Use the commutative property to reorder the terms

25 l^{2} - 209 - 2

Solution

25 l^{2} - 211

Show Solution

l_{1} = - \frac{211}{5}, l_{2} = \frac{211}{5}

Alternative Form

l_{1} \approx - 2.905168, l_{2} \approx 2.905168

Evaluate

l^{2} \times 25 - 209 - 2

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

l^{2} \times 25 - 209 - 2 = 0

Use the commutative property to reorder the terms

25 l^{2} - 209 - 2 = 0

Subtract the numbers

25 l^{2} - 211 = 0

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

25 l^{2} = 0 + 211

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

25 l^{2} = 211

Divide both sides

\frac{25 l ^{2}}{25} = \frac{211}{25}

Divide the numbers

l^{2} = \frac{211}{25}

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

l = \pm \frac{211}{25}

Simplify the expression

More Steps

Evaluate

\frac{211}{25}

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

\frac{211}{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{211}{5}

l = \pm \frac{211}{5}

Separate the equation into 2 possible cases

l = \frac{211}{5} l = - \frac{211}{5}

Solution

l_{1} = - \frac{211}{5}, l_{2} = \frac{211}{5}

Alternative Form

l_{1} \approx - 2.905168, l_{2} \approx 2.905168

Show Solution