16k2=64

Divide each term in 16k2=64 by 16.

16k216=6416

Cancel the common factor of 16.

Cancel the common factor.

16k216=6416

Divide k2 by 1.

k2=6416

k2=6416

Divide 64 by 16.

k2=4

k2=4

Take the square root of both sides of the equation to eliminate the exponent on the left side.

k=±4

Simplify the right side of the equation.

Rewrite 4 as 22.

k=±22

Pull terms out from under the radical, assuming positive real numbers.

k=±2

k=±2

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

k=2

Next, use the negative value of the ± to find the second solution.

k=-2

The complete solution is the result of both the positive and negative portions of the solution.

k=2,-2

k=2,-2

k=2,-2

Solve for k 16k^2=64