Question

Solve the given equation by completing the square.

x^2 + 8x = 38
Fill in the values of a, b, and c to complete the solutions.
a + b√c
a + b√c

Answer 1

i got it right a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Explanation:

Answer 2

a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6

Explanation:

`x^(2) +8x = 38`

Add 16 to both sides.

`x^(2) +8x+16 = 38 + 16`

`(x+4)^(2) =54`

`x + 4 = √(54)` or
`x + 4 = -√(54)`

`x+4=3√(6)` or
`x+4=-3√(6)`

`x=-4+3√(6)` or
`x=-4-3√(6)`

Therefore, a = -4, b = 3 and c = 6 (OR)

a = -4, b = -3 and c = 6