4. Solve the equation using all three methods below.

Factoring, completing the square, quadratic formula.

x^2 + 3x - 4 = 0
and
4x^2 = 9

it seems like x^2 + 3x - 4 = 0 equals x = 1, -4 from all three methods but Im not sure

4x^2 = 9 equals x = 3/2, -(3/2) when using quadratic formula or factoring, but i don't think it can be solved by completing the square.

1 answer

not sure? did you try the values? Looks good to me, since
1+3-4=0
16-12-4=0

for 4x^2=9 you don't really need to complete the square, but if you insist,
4x^2-9 = 0
4x^2 = 9
(2x-0)^2 = 9
2x-0 = ±3
x = 0±3/2