Question
4x^2+4x=3
solve by completing the square
solve by completing the square
Answers
Reiny
4x^2+4x=3
divide each term my 4
x^2 + x = 3/4
take 1/2 of the x-term coefficient, square that result, then add it to both sides
x^2 + x + 1/4 = 3/4 + 1/4
(x+1/2)^2 = 1
take root of both sides
x + 1/2 = ±1
x = -1/2 ± 1
x = -3/2 or 1/2
divide each term my 4
x^2 + x = 3/4
take 1/2 of the x-term coefficient, square that result, then add it to both sides
x^2 + x + 1/4 = 3/4 + 1/4
(x+1/2)^2 = 1
take root of both sides
x + 1/2 = ±1
x = -1/2 ± 1
x = -3/2 or 1/2