Solve n^24-15005 - ScanMath

Question

Simplify the expression

4 n^{2} - 15005

Evaluate

n^{2} \times 4 - 15005

Solution

4 n^{2} - 15005

Show Solution

n_{1} = - \frac{15005}{2}, n_{2} = \frac{15005}{2}

Alternative Form

n_{1} \approx - 61.247449, n_{2} \approx 61.247449

Evaluate

n^{2} \times 4 - 15005

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

n^{2} \times 4 - 15005 = 0

Use the commutative property to reorder the terms

4 n^{2} - 15005 = 0

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

4 n^{2} = 0 + 15005

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

4 n^{2} = 15005

Divide both sides

\frac{4 n ^{2}}{4} = \frac{15005}{4}

Divide the numbers

n^{2} = \frac{15005}{4}

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

n = \pm \frac{15005}{4}

Simplify the expression

More Steps

Evaluate

\frac{15005}{4}

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

\frac{15005}{4}

Simplify the radical expression

More Steps

Evaluate

4

Write the number in exponential form with the base of 2

2^{2}

Reduce the index of the radical and exponent with 2

2

\frac{15005}{2}

n = \pm \frac{15005}{2}

Separate the equation into 2 possible cases

n = \frac{15005}{2} n = - \frac{15005}{2}

Solution

n_{1} = - \frac{15005}{2}, n_{2} = \frac{15005}{2}

Alternative Form

n_{1} \approx - 61.247449, n_{2} \approx 61.247449

Show Solution