Solve l^23896-1 - ScanMath

Question

Simplify the expression

3896 l^{2} - 1

Evaluate

l^{2} \times 3896 - 1

Solution

3896 l^{2} - 1

Show Solution

l_{1} = - \frac{974}{1948}, l_{2} = \frac{974}{1948}

Alternative Form

l_{1} \approx - 0.016021, l_{2} \approx 0.016021

Evaluate

l^{2} \times 3896 - 1

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

l^{2} \times 3896 - 1 = 0

Use the commutative property to reorder the terms

3896 l^{2} - 1 = 0

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

3896 l^{2} = 0 + 1

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

3896 l^{2} = 1

Divide both sides

\frac{3896 l ^{2}}{3896} = \frac{1}{3896}

Divide the numbers

l^{2} = \frac{1}{3896}

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

l = \pm \frac{1}{3896}

Simplify the expression

More Steps

Evaluate

\frac{1}{3896}

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

\frac{1}{3896}

Simplify the radical expression

\frac{1}{3896}

Simplify the radical expression

More Steps

Evaluate

3896

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

4 \times 974

Write the number in exponential form with the base of 2

2^{2} \times 974

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

2^{2} \times 974

Reduce the index of the radical and exponent with 2

2974

\frac{1}{2 974}

Multiply by the Conjugate

\frac{974}{2 974 \times 974}

Multiply the numbers

More Steps

Evaluate

2974 \times 974

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

2 \times 974

Multiply the terms

1948

\frac{974}{1948}

l = \pm \frac{974}{1948}

Separate the equation into 2 possible cases

l = \frac{974}{1948} l = - \frac{974}{1948}

Solution

l_{1} = - \frac{974}{1948}, l_{2} = \frac{974}{1948}

Alternative Form

l_{1} \approx - 0.016021, l_{2} \approx 0.016021

Show Solution