Solve m^2- - - 92

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Example problems

Type your math problem... m^2- - - 92

Question

Find the roots

m_{1} = - 223, m_{2} = 223

Alternative Form

m_{1} \approx - 9.591663, m_{2} \approx 9.591663

Evaluate

m^{2} - 92

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

m^{2} - 92 = 0

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

m^{2} = 0 + 92

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

m^{2} = 92

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

m = \pm 92

Simplify the expression

More Steps

Evaluate

92

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

4 \times 23

Write the number in exponential form with the base of 2

2^{2} \times 23

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

2^{2} \times 23

Reduce the index of the radical and exponent with 2

223

m = \pm 223

Separate the equation into 2 possible cases

m = 223 m = - 223

Solution

m_{1} = - 223, m_{2} = 223

Alternative Form

m_{1} \approx - 9.591663, m_{2} \approx 9.591663

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