Question

solve the quadratic equation by completing the square -3x^2+9=1

Answer 1

-3x^2+9x = 1

3x^2 - 9x = -1
3(x^2-3x) = -1
3(x^2-3x+9/4) = -1 + 3(9/4) = 0
3(x - 3/2)^2 = 23/4
x - 3/2 = ±√(23/12) = ±√69 / 6
x = (9 ±√69)/6