Solve g^2-56 - ScanMath

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Type your math problem... g^2-56

Question

Find the roots

g_{1} = - 214, g_{2} = 214

Alternative Form

g_{1} \approx - 7.483315, g_{2} \approx 7.483315

Evaluate

g^{2} - 56

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

g^{2} - 56 = 0

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

g^{2} = 0 + 56

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

g^{2} = 56

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

g = \pm 56

Simplify the expression

More Steps

Evaluate

56

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

4 \times 14

Write the number in exponential form with the base of 2

2^{2} \times 14

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

2^{2} \times 14

Reduce the index of the radical and exponent with 2

214

g = \pm 214

Separate the equation into 2 possible cases

g = 214 g = - 214

Solution

g_{1} = - 214, g_{2} = 214

Alternative Form

g_{1} \approx - 7.483315, g_{2} \approx 7.483315

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