Solve each equation by completing the square. Write both answers separately.

37) ±√29 - 4

Completing the square utilizes this formula . We know that b=8, 8 can be plugged into this formula to get . Simplify to get 16. Now, we can add this into the equation to get . Subtract 26 to both sides, so the equation can equal to 0. would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.

38) ±√21 - 2

Let's use the same formula. b=4, so . Simplify to get 4. Add that into the equation to get . Subtract 8 on both sides, so the equation can equal to 0. would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2

If you're confused on any part of the explanation, feel free to ask :)

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363