- quadratic formula, cartoon
- free online calculator with simult
- easy way to find quadratic roots
- power equastion
- ti 89 titanium quadratic equation
- easy ways to solving a quadratic equation
- free online ti 86 calculator
- further example
- simultaneous equations & various ratio
- "solving quadratic equations by using the quadratic formula" test
- quadratic function real life
- simulanteous equation calculator
- 101 uses for quadratic equations
- vertex of a quadratic equation solver
- solving quadratic equations, pros and cons
- quardic eqation
- ignition dhlg-3
- how to work y-intercepts step by step
- equations squared
- simultaneous equations online
|
|
Quadratic Equations Vertex Worksheet
Solving Quadratic Equations
Looking at an example:
You are given the question
x2+5x+4=0
In the above example,
a=1 (If there is no number before the x then we can assume that thenumber is 1)
b=5
c=4
What we then have to do is find out what x could be equal to in order to satisfy the equation and therefore make it true. In this example, x can either equal -4 or -1 . We don't know yet how we came to this answer, but let's show that both of these answers do work.
Putting -4 into the above equation:
x2+5x+4=0
(-4)2 + (5*-4) + 4 = 0
(-4)*(-4) + (5*-4) + 4 = 0
16 + (-20) + 4 = 0
16-20+4=0
-4+4=0
0=0
This shows that -4 can be a solution for x
Putting -1 into the above equation:
x2+5x+4=0
(-1)2 + (5*-1) + 4 = 0
(-1)*(-1) + (5*-1) + 4 = 0
1 + (-5) + 4 = 0
1-5+4=0
-4+4=0
0=0
This shows that -1 can also be a solution for x
Therefore, there are two possible solutions, -1 and -4. They must both begiven as an answer to obtain full marks.
Once you have obtained the possible solutions for x, is is always necessary to checkthem in the above way
