Solve 3m^274-5050-1

Question

Simplify the expression

222 m^{2} - 5051

Evaluate

3 m^{2} \times 74 - 5050 - 1

Multiply the terms

222 m^{2} - 5050 - 1

Solution

222 m^{2} - 5051

Show Solution

m_{1} = - \frac{1121322}{222}, m_{2} = \frac{1121322}{222}

Alternative Form

m_{1} \approx - 4.769932, m_{2} \approx 4.769932

Evaluate

3 m^{2} \times 74 - 5050 - 1

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

3 m^{2} \times 74 - 5050 - 1 = 0

Multiply the terms

222 m^{2} - 5050 - 1 = 0

Subtract the numbers

222 m^{2} - 5051 = 0

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

222 m^{2} = 0 + 5051

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

222 m^{2} = 5051

Divide both sides

\frac{222 m ^{2}}{222} = \frac{5051}{222}

Divide the numbers

m^{2} = \frac{5051}{222}

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

m = \pm \frac{5051}{222}

Simplify the expression

More Steps

Evaluate

\frac{5051}{222}

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

\frac{5051}{222}

Multiply by the Conjugate

\frac{5051 \times 222}{222 \times 222}

Multiply the numbers

More Steps

Evaluate

5051 \times 222

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

5051 \times 222

Calculate the product

1121322

\frac{1121322}{222 \times 222}

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

\frac{1121322}{222}

m = \pm \frac{1121322}{222}

Separate the equation into 2 possible cases

m = \frac{1121322}{222} m = - \frac{1121322}{222}

Solution

m_{1} = - \frac{1121322}{222}, m_{2} = \frac{1121322}{222}

Alternative Form

m_{1} \approx - 4.769932, m_{2} \approx 4.769932

Show Solution