Math 110
In Class Exercises, Section 1.3
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Solving Quadratic Equations Algebraically : Review
Goal: Review factoring, completing the square, and the quadratic formula
For every problem that you can, you should first use the discriminant to figure out how many real solutions
there are.
1) Solve by factoring
x 2  4x
2) Solve by factoring (try factoring by grouping)
x3  x 2  4x  4  0
(Remember to first figure out what the discriminant is!)
(For this question, you don't need to calculate the discriminant)
3) Solve by factoring (Discriminant: etc)
v 2  7v  6  0
4) Solve by factoring
x 2  25  0
5) Solve by completing the square
x 2  5x  4  0
6) Solve by completing the square
x 2  6 x  16
Math 110
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Math 110
In Class Exercises, Section 1.3
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7) Solve by completing the square
x 2  6 x  13
8) Solve by completing the square
ax 2  bx  c  0
(You should be able to solve this for x, even though everything else is a letter (a, b, or c) instead of a number)
9) Solve by using the quadratic formula
3x 2  5 x  1  0
10) Solve by using the quadratic formula
x 2  8x  2  4 x
11) Solve by using the quadratic formula
5x  4 x 2  5
12) Solve for x using any means you can. If you can't solve this for x, be able to explain why.
4 x 2  5x  2
Math 110
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