Solve x^2-12 - ScanMath

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Type your math problem... x^2-12

Question

Find the roots

x_{1} = - 23, x_{2} = 23

Alternative Form

x_{1} \approx - 3.464102, x_{2} \approx 3.464102

Evaluate

x^{2} - 12

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

x^{2} - 12 = 0

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

x^{2} = 0 + 12

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

x^{2} = 12

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

x = \pm 12

Simplify the expression

More Steps

Evaluate

12

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

4 \times 3

Write the number in exponential form with the base of 2

2^{2} \times 3

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

2^{2} \times 3

Reduce the index of the radical and exponent with 2

23

x = \pm 23

Separate the equation into 2 possible cases

x = 23 x = - 23

Solution

x_{1} = - 23, x_{2} = 23

Alternative Form

x_{1} \approx - 3.464102, x_{2} \approx 3.464102

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