Question

Use the square roots property to solve the quadratic equation (6d+1)2+12=13. If there are multiple answers, list them separated by a comma, e.g. 1,2. If there is no solution, enter ∅.

Answer 1

`d = 0`

Explanation:

Given

`(6d+1)^2+12=13`

Required

Solve for d

`(6d+1)^2+12=13`

Collect Like Terms

`(6d+1)^2=13 - 12`

`(6d+1)^2=1`

Using square roots property

`√((6d+1)^2)=\sqrt 1`

`6d+1 = 1`

Collect Like Terms

`6d = 1 - 1`

`6d = 0`

`d = 0/6`

`d = 0`