Originally Posted by

**Jhevon** It is possible, you just use the quadratic formula. If you can't factor a polynomial of the form ax^2 + bx + c = 0 by grouping, you plug it into the formula x = [-b +or- squareroot(b^2 - 4ac)]/2a. That would give the exact value, no graphing calculator required. Yes, -2-3^(1/2) is a little less than -2. Remember, 3^(1/2) is the same as saying the squareroot of 3, which is about 1.7. So -2-1.7=-3.7, almost 4. You also need to plug in 0 for y, to see where it cuts the x-axis.

In the second problem, where did you get k=1? There is no k in the equation, k=0 there, unless you mistyped the equation. And yes, you will need the distributive property. 24(x+5.5)^2 = 24(x+5.5)(x+5.5) = 24(x^2 + 11x + 30.25). Then plug in x=0 for the y-intercept, and y=0 for the x-intercept. According to the original formula, the min value is (-5.5,0). Then just plot the graph with those values and you should be fine.