16d2-169=0

Add 169 to both sides of the equation.

16d2=169

Divide each term in 16d2=169 by 16.

16d216=16916

Cancel the common factor of 16.

Cancel the common factor.

16d216=16916

Divide d2 by 1.

d2=16916

d2=16916

d2=16916

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

d=±16916

Simplify the right side of the equation.

Rewrite 16916 as 16916.

d=±16916

Simplify the numerator.

Rewrite 169 as 132.

d=±13216

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

d=±1316

d=±1316

Simplify the denominator.

Rewrite 16 as 42.

d=±1342

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

d=±134

d=±134

d=±134

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.

d=134

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

d=-134

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

d=134,-134

d=134,-134

d=134,-134

The result can be shown in multiple forms.

Exact Form:

d=134,-134

Decimal Form:

d=3.25,-3.25

Mixed Number Form:

d=314,-314

Solve for d 16d^2-169=0