solutions for equation ax2+bx+c, 9x2+12x-32=0
Because you included the general form of the equation, you
should be able to figure out what this formula leads to:
-b ± sqrt(b^2 -4ac)
--------------------------
2a
Solving that formula gives us the possible x values for the
equation. Plug in the constants from the equation:
-12 ± sqrt(12^2 - 4(9)(-32))
x = -------------------------------------
2(9)
-12 ± sqrt(144 - (-1152))
x = ---------------------------------
18
-12 ± sqrt(1296)
x = -------------------------
18
-12 ± 36
x = ------------
18
24 -48
x = ---- or x = -----
18 18
x = 1 1/3 or x = -2 2/3
(1 1/3, 0) and (-2 2/3, 0) are the
points where the graph of the equation
crosses the x-axis and y = 0
(It's a parabola.)