Solve m^22520/23-4

Question

Simplify the expression

\frac{2520}{23} m^{2} - 4

Evaluate

m^{2} \times \frac{2520}{23} - 4

Solution

\frac{2520}{23} m^{2} - 4

Show Solution

\frac{4}{23} (630 m^{2} - 23)

Evaluate

m^{2} \times \frac{2520}{23} - 4

Use the commutative property to reorder the terms

\frac{2520}{23} m^{2} - 4

Solution

\frac{4}{23} (630 m^{2} - 23)

Show Solution

m_{1} = - \frac{1610}{210}, m_{2} = \frac{1610}{210}

Alternative Form

m_{1} \approx - 0.191071, m_{2} \approx 0.191071

Evaluate

m^{2} \times \frac{2520}{23} - 4

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

m^{2} \times \frac{2520}{23} - 4 = 0

Use the commutative property to reorder the terms

\frac{2520}{23} m^{2} - 4 = 0

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

\frac{2520}{23} m^{2} = 0 + 4

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

\frac{2520}{23} m^{2} = 4

Multiply by the reciprocal

\frac{2520}{23} m^{2} \times \frac{23}{2520} = 4 \times \frac{23}{2520}

Multiply

m^{2} = 4 \times \frac{23}{2520}

Multiply

More Steps

Evaluate

4 \times \frac{23}{2520}

Reduce the numbers

1 \times \frac{23}{630}

Multiply the numbers

\frac{23}{630}

m^{2} = \frac{23}{630}

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

m = \pm \frac{23}{630}

Simplify the expression

More Steps

Evaluate

\frac{23}{630}

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

\frac{23}{630}

Simplify the radical expression

More Steps

Evaluate

630

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

9 \times 70

Write the number in exponential form with the base of 3

3^{2} \times 70

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

3^{2} \times 70

Reduce the index of the radical and exponent with 2

370

\frac{23}{3 70}

Multiply by the Conjugate

\frac{23 \times 70}{3 70 \times 70}

Multiply the numbers

More Steps

Evaluate

23 \times 70

The product of roots with the same index is equal to the root of the product

23 \times 70

Calculate the product

1610

\frac{1610}{3 70 \times 70}

Multiply the numbers

More Steps

Evaluate

370 \times 70

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

3 \times 70

Multiply the terms

210

\frac{1610}{210}

m = \pm \frac{1610}{210}

Separate the equation into 2 possible cases

m = \frac{1610}{210} m = - \frac{1610}{210}

Solution

m_{1} = - \frac{1610}{210}, m_{2} = \frac{1610}{210}

Alternative Form

m_{1} \approx - 0.191071, m_{2} \approx 0.191071

Show Solution