Solve l^27902-1 - ScanMath

Question

Simplify the expression

7902 l^{2} - 1

Evaluate

l^{2} \times 7902 - 1

Solution

7902 l^{2} - 1

Show Solution

l_{1} = - \frac{878}{2634}, l_{2} = \frac{878}{2634}

Alternative Form

l_{1} \approx - 0.011249, l_{2} \approx 0.011249

Evaluate

l^{2} \times 7902 - 1

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

l^{2} \times 7902 - 1 = 0

Use the commutative property to reorder the terms

7902 l^{2} - 1 = 0

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

7902 l^{2} = 0 + 1

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

7902 l^{2} = 1

Divide both sides

\frac{7902 l ^{2}}{7902} = \frac{1}{7902}

Divide the numbers

l^{2} = \frac{1}{7902}

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

l = \pm \frac{1}{7902}

Simplify the expression

More Steps

Evaluate

\frac{1}{7902}

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

\frac{1}{7902}

Simplify the radical expression

\frac{1}{7902}

Simplify the radical expression

More Steps

Evaluate

7902

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

9 \times 878

Write the number in exponential form with the base of 3

3^{2} \times 878

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

3^{2} \times 878

Reduce the index of the radical and exponent with 2

3878

\frac{1}{3 878}

Multiply by the Conjugate

\frac{878}{3 878 \times 878}

Multiply the numbers

More Steps

Evaluate

3878 \times 878

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

3 \times 878

Multiply the terms

2634

\frac{878}{2634}

l = \pm \frac{878}{2634}

Separate the equation into 2 possible cases

l = \frac{878}{2634} l = - \frac{878}{2634}

Solution

l_{1} = - \frac{878}{2634}, l_{2} = \frac{878}{2634}

Alternative Form

l_{1} \approx - 0.011249, l_{2} \approx 0.011249

Show Solution