Chapter 13: Quadratic Relations and Functions
Lesson 13-1: Solving Quadratic Equations
Date ___________
p.503-508
Perfect Squares
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Standard form of a quadratic equation ax 2  bx  c  0
To solve quadratic equations:
1. Simplify if possible.
2. Set the equation equal to zero. (if necessary)
3. Factor the quadratic. (Product/Sum)
4. Set each factor equal to zero.
5. Solve each equation.
6. Check each solution.
Ex 1| x 2  7 x  10
Ex 2| 2x 2  3x
1. Simplify if possible.
1. Simplify if possible.
2. Set the equation equal to zero. (if
necessary)
2. Set the equation equal to zero. (if
necessary)
3. Factor the quadratic. (Product/Sum)
3. Factor the quadratic. (Product/Sum)
4. Set each factor equal to zero.
4. Set each factor equal to zero.
5. Solve each equation.
5. Solve each equation.
6. Check each solution.
6. Check each solution.
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Ex 3| x x  8  2x  25
Ex 4| x 2  9
Date ___________
1. Simplify if possible.
1. Simplify if possible.
2. Set the equation equal to zero. (if
necessary)
2. Set the equation equal to zero. (if
necessary)
3. Factor the quadratic. (Product/Sum)
3. Factor the quadratic. (Product/Sum)
4. Set each factor equal to zero.
4. Set each factor equal to zero.
5. Solve each equation.
5. Solve each equation.
6. Check each solution.
6. Check each solution.
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Date ___________
Ex 5| The height h of a ball thrown into the air with an initial vertical velocity of
24 feet per second from a height of 6 feet above the ground is given by the
equation h  16t 2  24t  6 where t is the time, in seconds, that the ball has been
in the air. After how many seconds is the ball at a height of 14 feet?
HW: p.508/45-50 odds
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