Solve for d. sqrtd^2-11 = 5

Question

4, -4

 

-5 5,

 

6, -6

Answer 1

sqrt(d^2-11 )= 5

Squaring on both sides

(d^2-11 )= 5

Add 11 to each side

d^2=16

d=-4 or 4

Comments

The solution of the equation √(d²- 11) = 5 is d = - 6 and d = 6.

Answer 2

The equation is √(d²- 11) = 5.

Squaring on both sides.

d²- 11 = 25

Add 11 to each side.

d²- 11+ 11 = 25 + 11

d² = 36

⇒ d = ± 6.

The solution is d = - 6 and d = 6.