Solve 9/1 -k^21-15

Evaluate

\frac{9}{1} - k^{2} \times 1 - 15

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

\frac{9}{1} - k^{2} \times 1 - 15 = 0

Divide the terms

9 - k^{2} \times 1 - 15 = 0

Any expression multiplied by 1 remains the same

9 - k^{2} - 15 = 0

Subtract the numbers

- 6 - k^{2} = 0

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

- k^{2} = 0 + 6

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

- k^{2} = 6

Change the signs on both sides of the equation

k^{2} = - 6

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

k = \pm - 6

Simplify the expression

More Steps

k = \pm (6 \times i)

Separate the equation into 2 possible cases

k = 6 \times i k = - 6 \times i

Solution

k_{1} = - 6 \times i, k_{2} = 6 \times i

Alternative Form

k_{1} \approx - 2.44949 i, k_{2} \approx 2.44949 i

Simplify the expression