Solve k^2-18 - ScanMath

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Type your math problem... k^2-18

Question

Find the roots

k_{1} = - 32, k_{2} = 32

Alternative Form

k_{1} \approx - 4.242641, k_{2} \approx 4.242641

Evaluate

k^{2} - 18

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

k^{2} - 18 = 0

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

k^{2} = 0 + 18

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

k^{2} = 18

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

k = \pm 18

Simplify the expression

More Steps

Evaluate

18

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

9 \times 2

Write the number in exponential form with the base of 3

3^{2} \times 2

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

3^{2} \times 2

Reduce the index of the radical and exponent with 2

32

k = \pm 32

Separate the equation into 2 possible cases

k = 32 k = - 32

Solution

k_{1} = - 32, k_{2} = 32

Alternative Form

k_{1} \approx - 4.242641, k_{2} \approx 4.242641

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