Solve l^21472-1 - ScanMath

Question

l^{2} \times 1472 - 1

Simplify the expression

1472 l^{2} - 1

Evaluate

l^{2} \times 1472 - 1

Solution

1472 l^{2} - 1

Show Solution

l_{1} = - \frac{23}{184}, l_{2} = \frac{23}{184}

Alternative Form

l_{1} \approx - 0.026064, l_{2} \approx 0.026064

Evaluate

l^{2} \times 1472 - 1

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

l^{2} \times 1472 - 1 = 0

Use the commutative property to reorder the terms

1472 l^{2} - 1 = 0

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

1472 l^{2} = 0 + 1

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

1472 l^{2} = 1

Divide both sides

\frac{1472 l ^{2}}{1472} = \frac{1}{1472}

Divide the numbers

l^{2} = \frac{1}{1472}

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

l = \pm \frac{1}{1472}

Simplify the expression

More Steps

Evaluate

\frac{1}{1472}

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

\frac{1}{1472}

Simplify the radical expression

\frac{1}{1472}

Simplify the radical expression

More Steps

Evaluate

1472

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

64 \times 23

Write the number in exponential form with the base of 8

8^{2} \times 23

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

8^{2} \times 23

Reduce the index of the radical and exponent with 2

823

\frac{1}{8 23}

Multiply by the Conjugate

\frac{23}{8 23 \times 23}

Multiply the numbers

More Steps

Evaluate

823 \times 23

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

8 \times 23

Multiply the terms

184

\frac{23}{184}

l = \pm \frac{23}{184}

Separate the equation into 2 possible cases

l = \frac{23}{184} l = - \frac{23}{184}

Solution

l_{1} = - \frac{23}{184}, l_{2} = \frac{23}{184}

Alternative Form

l_{1} \approx - 0.026064, l_{2} \approx 0.026064

Show Solution