Solve n^23742-1 - ScanMath

Question

Simplify the expression

3742 n^{2} - 1

Evaluate

n^{2} \times 3742 - 1

Solution

3742 n^{2} - 1

Show Solution

n_{1} = - \frac{3742}{3742}, n_{2} = \frac{3742}{3742}

Alternative Form

n_{1} \approx - 0.016347, n_{2} \approx 0.016347

Evaluate

n^{2} \times 3742 - 1

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

n^{2} \times 3742 - 1 = 0

Use the commutative property to reorder the terms

3742 n^{2} - 1 = 0

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

3742 n^{2} = 0 + 1

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

3742 n^{2} = 1

Divide both sides

\frac{3742 n ^{2}}{3742} = \frac{1}{3742}

Divide the numbers

n^{2} = \frac{1}{3742}

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

n = \pm \frac{1}{3742}

Simplify the expression

More Steps

Evaluate

\frac{1}{3742}

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

\frac{1}{3742}

Simplify the radical expression

\frac{1}{3742}

Multiply by the Conjugate

\frac{3742}{3742 \times 3742}

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

\frac{3742}{3742}

n = \pm \frac{3742}{3742}

Separate the equation into 2 possible cases

n = \frac{3742}{3742} n = - \frac{3742}{3742}

Solution

n_{1} = - \frac{3742}{3742}, n_{2} = \frac{3742}{3742}

Alternative Form

n_{1} \approx - 0.016347, n_{2} \approx 0.016347

Show Solution