Solve m^25988/4-904

Question

Simplify the expression

1497 m^{2} - 904

Evaluate

m^{2} \times \frac{5988}{4} - 904

Divide the terms

More Steps

Evaluate

\frac{5988}{4}

Reduce the numbers

\frac{1497}{1}

Calculate

1497

m^{2} \times 1497 - 904

Solution

1497 m^{2} - 904

Show Solution

m_{1} = - \frac{2 338322}{1497}, m_{2} = \frac{2 338322}{1497}

Alternative Form

m_{1} \approx - 0.777094, m_{2} \approx 0.777094

Evaluate

m^{2} \times \frac{5988}{4} - 904

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

m^{2} \times \frac{5988}{4} - 904 = 0

Divide the terms

More Steps

Evaluate

\frac{5988}{4}

Reduce the numbers

\frac{1497}{1}

Calculate

1497

m^{2} \times 1497 - 904 = 0

Use the commutative property to reorder the terms

1497 m^{2} - 904 = 0

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

1497 m^{2} = 0 + 904

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

1497 m^{2} = 904

Divide both sides

\frac{1497 m ^{2}}{1497} = \frac{904}{1497}

Divide the numbers

m^{2} = \frac{904}{1497}

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

m = \pm \frac{904}{1497}

Simplify the expression

More Steps

Evaluate

\frac{904}{1497}

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

\frac{904}{1497}

Simplify the radical expression

More Steps

Evaluate

904

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

4 \times 226

Write the number in exponential form with the base of 2

2^{2} \times 226

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

2^{2} \times 226

Reduce the index of the radical and exponent with 2

2226

\frac{2 226}{1497}

Multiply by the Conjugate

\frac{2 226 \times 1497}{1497 \times 1497}

Multiply the numbers

More Steps

Evaluate

226 \times 1497

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

226 \times 1497

Calculate the product

338322

\frac{2 338322}{1497 \times 1497}

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

\frac{2 338322}{1497}

m = \pm \frac{2 338322}{1497}

Separate the equation into 2 possible cases

m = \frac{2 338322}{1497} m = - \frac{2 338322}{1497}

Solution

m_{1} = - \frac{2 338322}{1497}, m_{2} = \frac{2 338322}{1497}

Alternative Form

m_{1} \approx - 0.777094, m_{2} \approx 0.777094

Show Solution