Solve m^22-6350-2

Question

Simplify the expression

2 m^{2} - 6352

Evaluate

m^{2} \times 2 - 6350 - 2

Use the commutative property to reorder the terms

2 m^{2} - 6350 - 2

Solution

2 m^{2} - 6352

Show Solution

2 (m^{2} - 3176)

Evaluate

m^{2} \times 2 - 6350 - 2

Use the commutative property to reorder the terms

2 m^{2} - 6350 - 2

Subtract the numbers

2 m^{2} - 6352

Solution

2 (m^{2} - 3176)

Show Solution

m_{1} = - 2794, m_{2} = 2794

Alternative Form

m_{1} \approx - 56.356011, m_{2} \approx 56.356011

Evaluate

m^{2} \times 2 - 6350 - 2

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

m^{2} \times 2 - 6350 - 2 = 0

Use the commutative property to reorder the terms

2 m^{2} - 6350 - 2 = 0

Subtract the numbers

2 m^{2} - 6352 = 0

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

2 m^{2} = 0 + 6352

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

2 m^{2} = 6352

Divide both sides

\frac{2 m ^{2}}{2} = \frac{6352}{2}

Divide the numbers

m^{2} = \frac{6352}{2}

Divide the numbers

More Steps

Evaluate

\frac{6352}{2}

Reduce the numbers

\frac{3176}{1}

Calculate

3176

m^{2} = 3176

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

m = \pm 3176

Simplify the expression

More Steps

Evaluate

3176

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

4 \times 794

Write the number in exponential form with the base of 2

2^{2} \times 794

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

2^{2} \times 794

Reduce the index of the radical and exponent with 2

2794

m = \pm 2794

Separate the equation into 2 possible cases

m = 2794 m = - 2794

Solution

m_{1} = - 2794, m_{2} = 2794

Alternative Form

m_{1} \approx - 56.356011, m_{2} \approx 56.356011

Show Solution