Solve l^2314-4 - ScanMath

Question

Simplify the expression

314 l^{2} - 4

Evaluate

l^{2} \times 314 - 4

Solution

314 l^{2} - 4

Show Solution

2 (157 l^{2} - 2)

Evaluate

l^{2} \times 314 - 4

Use the commutative property to reorder the terms

314 l^{2} - 4

Solution

2 (157 l^{2} - 2)

Show Solution

l_{1} = - \frac{314}{157}, l_{2} = \frac{314}{157}

Alternative Form

l_{1} \approx - 0.112867, l_{2} \approx 0.112867

Evaluate

l^{2} \times 314 - 4

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

l^{2} \times 314 - 4 = 0

Use the commutative property to reorder the terms

314 l^{2} - 4 = 0

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

314 l^{2} = 0 + 4

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

314 l^{2} = 4

Divide both sides

\frac{314 l ^{2}}{314} = \frac{4}{314}

Divide the numbers

l^{2} = \frac{4}{314}

Cancel out the common factor 2

l^{2} = \frac{2}{157}

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

l = \pm \frac{2}{157}

Simplify the expression

More Steps

Evaluate

\frac{2}{157}

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

\frac{2}{157}

Multiply by the Conjugate

\frac{2 \times 157}{157 \times 157}

Multiply the numbers

More Steps

Evaluate

2 \times 157

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

2 \times 157

Calculate the product

314

\frac{314}{157 \times 157}

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

\frac{314}{157}

l = \pm \frac{314}{157}

Separate the equation into 2 possible cases

l = \frac{314}{157} l = - \frac{314}{157}

Solution

l_{1} = - \frac{314}{157}, l_{2} = \frac{314}{157}

Alternative Form

l_{1} \approx - 0.112867, l_{2} \approx 0.112867

Show Solution