Solve l^2232-16 - ScanMath

Question

Simplify the expression

232 l^{2} - 16

Evaluate

l^{2} \times 232 - 16

Solution

232 l^{2} - 16

Show Solution

8 (29 l^{2} - 2)

Evaluate

l^{2} \times 232 - 16

Use the commutative property to reorder the terms

232 l^{2} - 16

Solution

8 (29 l^{2} - 2)

Show Solution

l_{1} = - \frac{58}{29}, l_{2} = \frac{58}{29}

Alternative Form

l_{1} \approx - 0.262613, l_{2} \approx 0.262613

Evaluate

l^{2} \times 232 - 16

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

l^{2} \times 232 - 16 = 0

Use the commutative property to reorder the terms

232 l^{2} - 16 = 0

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

232 l^{2} = 0 + 16

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

232 l^{2} = 16

Divide both sides

\frac{232 l ^{2}}{232} = \frac{16}{232}

Divide the numbers

l^{2} = \frac{16}{232}

Cancel out the common factor 8

l^{2} = \frac{2}{29}

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

l = \pm \frac{2}{29}

Simplify the expression

More Steps

Evaluate

\frac{2}{29}

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

\frac{2}{29}

Multiply by the Conjugate

\frac{2 \times 29}{29 \times 29}

Multiply the numbers

More Steps

Evaluate

2 \times 29

The product of roots with the same index is equal to the root of the product

2 \times 29

Calculate the product

58

\frac{58}{29 \times 29}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{58}{29}

l = \pm \frac{58}{29}

Separate the equation into 2 possible cases

l = \frac{58}{29} l = - \frac{58}{29}

Solution

l_{1} = - \frac{58}{29}, l_{2} = \frac{58}{29}

Alternative Form

l_{1} \approx - 0.262613, l_{2} \approx 0.262613

Show Solution