# Solve for d 16d^2-169=0 16d2-169=0
Add 169 to both sides of the equation.
16d2=169
Divide each term by 16 and simplify.
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
The complete solution is the result of both the positive and negative portions of the solution.
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

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