Solve n^24790-1 - ScanMath

Question

Simplify the expression

4790 n^{2} - 1

Evaluate

n^{2} \times 4790 - 1

Solution

4790 n^{2} - 1

Show Solution

n_{1} = - \frac{4790}{4790}, n_{2} = \frac{4790}{4790}

Alternative Form

n_{1} \approx - 0.014449, n_{2} \approx 0.014449

Evaluate

n^{2} \times 4790 - 1

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

n^{2} \times 4790 - 1 = 0

Use the commutative property to reorder the terms

4790 n^{2} - 1 = 0

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

4790 n^{2} = 0 + 1

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

4790 n^{2} = 1

Divide both sides

\frac{4790 n ^{2}}{4790} = \frac{1}{4790}

Divide the numbers

n^{2} = \frac{1}{4790}

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

n = \pm \frac{1}{4790}

Simplify the expression

More Steps

Evaluate

\frac{1}{4790}

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

\frac{1}{4790}

Simplify the radical expression

\frac{1}{4790}

Multiply by the Conjugate

\frac{4790}{4790 \times 4790}

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

\frac{4790}{4790}

n = \pm \frac{4790}{4790}

Separate the equation into 2 possible cases

n = \frac{4790}{4790} n = - \frac{4790}{4790}

Solution

n_{1} = - \frac{4790}{4790}, n_{2} = \frac{4790}{4790}

Alternative Form

n_{1} \approx - 0.014449, n_{2} \approx 0.014449

Show Solution