Practice Problem 1

Solve this on paper, preferably without a calculator:
1x2+3x+0 = 0

After you are done, you can click this button to see the solution, to check if you got it right.


[Don't scroll down until you've done the problem first!]















Quick Answer
Actual Graph of y = 1 x2+3 x+0

See lesson on Graphing x = 0, -3 (sometimes solutions may be close approximations of the actual solutions)

Expression factored: 1 x2+3 x+0 = (x+0)(x+3)


Solution Explained
Equation:
a = 1
b = 3
c = 0


Discriminant: b2-4ac = 3 2+4*1*0 = 9

Discriminant (9) is greater than zero. The equation has two solutions.





or


or

x1,2 = (-3 ± 3) / 2*1
or

x1 = 0 / 2 = 0
x2 = -6 / 2 = -3

or

x1,2 = 0, -3


Equation factored:

(x+0)(x+3)