- using simultaneous equation to find the equation of a curve
- matrix online calculator, simulataneous equations
- not of quadratic equations
- simultaneously calculator
- solving word problems in quadratic equation
- how to graph quadratic equations step by step
- quadratic equation carpentry
- quadratic equations in administration
- what are the pros and con of solving quadratric formula
- equations to solve triangles
- how to solve molecular formula
- excel solver equations
- how to describe quadratic equations
- math/what is quadratic equation
- what is a quadratic function
- solving equations the easy way
- how to solve a quadratric equation by geometry
- factorising equation solvers
- quadratic vertex h k form
- lesson plan application of quadratic equation
|
|
How Do You Work Out Quadratic Eqations
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
