Solve n^24-15004 - ScanMath

Question

Simplify the expression

4 n^{2} - 15004

Evaluate

n^{2} \times 4 - 15004

Solution

4 n^{2} - 15004

Show Solution

4 (n^{2} - 3751)

Evaluate

n^{2} \times 4 - 15004

Use the commutative property to reorder the terms

4 n^{2} - 15004

Solution

4 (n^{2} - 3751)

Show Solution

n_{1} = - 1131, n_{2} = 1131

Alternative Form

n_{1} \approx - 61.245408, n_{2} \approx 61.245408

Evaluate

n^{2} \times 4 - 15004

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

n^{2} \times 4 - 15004 = 0

Use the commutative property to reorder the terms

4 n^{2} - 15004 = 0

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

4 n^{2} = 0 + 15004

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

4 n^{2} = 15004

Divide both sides

\frac{4 n ^{2}}{4} = \frac{15004}{4}

Divide the numbers

n^{2} = \frac{15004}{4}

Divide the numbers

More Steps

Evaluate

\frac{15004}{4}

Reduce the numbers

\frac{3751}{1}

Calculate

3751

n^{2} = 3751

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

n = \pm 3751

Simplify the expression

More Steps

Evaluate

3751

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

121 \times 31

Write the number in exponential form with the base of 11

1 1^{2} \times 31

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

1 1^{2} \times 31

Reduce the index of the radical and exponent with 2

1131

n = \pm 1131

Separate the equation into 2 possible cases

n = 1131 n = - 1131

Solution

n_{1} = - 1131, n_{2} = 1131

Alternative Form

n_{1} \approx - 61.245408, n_{2} \approx 61.245408

Show Solution