Solve x^2-20 - ScanMath

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Type your math problem... x^2-20

Question

Find the roots

x_{1} = - 25, x_{2} = 25

Alternative Form

x_{1} \approx - 4.472136, x_{2} \approx 4.472136

Evaluate

x^{2} - 20

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

x^{2} - 20 = 0

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

x^{2} = 0 + 20

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

x^{2} = 20

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

x = \pm 20

Simplify the expression

More Steps

Evaluate

20

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

4 \times 5

Write the number in exponential form with the base of 2

2^{2} \times 5

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

2^{2} \times 5

Reduce the index of the radical and exponent with 2

25

x = \pm 25

Separate the equation into 2 possible cases

x = 25 x = - 25

Solution

x_{1} = - 25, x_{2} = 25

Alternative Form

x_{1} \approx - 4.472136, x_{2} \approx 4.472136

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