Solve l^2254-1 - ScanMath

Question

Simplify the expression

254 l^{2} - 1

Evaluate

l^{2} \times 254 - 1

Solution

254 l^{2} - 1

Show Solution

l_{1} = - \frac{254}{254}, l_{2} = \frac{254}{254}

Alternative Form

l_{1} \approx - 0.062746, l_{2} \approx 0.062746

Evaluate

l^{2} \times 254 - 1

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

l^{2} \times 254 - 1 = 0

Use the commutative property to reorder the terms

254 l^{2} - 1 = 0

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

254 l^{2} = 0 + 1

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

254 l^{2} = 1

Divide both sides

\frac{254 l ^{2}}{254} = \frac{1}{254}

Divide the numbers

l^{2} = \frac{1}{254}

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

l = \pm \frac{1}{254}

Simplify the expression

More Steps

Evaluate

\frac{1}{254}

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

\frac{1}{254}

Simplify the radical expression

\frac{1}{254}

Multiply by the Conjugate

\frac{254}{254 \times 254}

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

\frac{254}{254}

l = \pm \frac{254}{254}

Separate the equation into 2 possible cases

l = \frac{254}{254} l = - \frac{254}{254}

Solution

l_{1} = - \frac{254}{254}, l_{2} = \frac{254}{254}

Alternative Form

l_{1} \approx - 0.062746, l_{2} \approx 0.062746

Show Solution