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Quadratic Function Solver
Solving Quadratic Equations
Let's have a look at how we solve a quadratic equation:
x2-3x+2=0
The easiest way to solve them is to follow certain steps:
Step 1
Find two numbers where when they are multiplied together equal the firstnumber (a=1) multiplied by the third number (c=2). These two numbers when addedto each other must also equal the second number (b=-3).
In the above example, the solution is -2 and -1.
We can see that when added together the result is -3 and that when multiplied together, the result is 2
Step 2
Rewrite the original equation splitting the middle part into two using thenumbers which you found in step 1.
x2-x-2x+2=0
Step 3
Start to factorise both halves of the equation:
x(x-1)-2(x-1)=0
At this point you will know if you are going along the correct track if thefirst bracket is the same as the second bracket.
Step 4
Collect everything before each bracket and put it into one bracket andmultiply this bracket by that which is inside the identical brackets:
(x-1)(x-2)=0
Step 5
In order for the left side of the equation to be equal to 0, one of the twobrackets must equal 0. So either:
a.
x-1=0
x=1
b
x-2=0
x=2
Step 6
Check these answers:
12-(3*1)+2=0
1-3+2=0
0=0
22-(3*2)+2=0
4-6+2=0
0=0
Therefore the possible solutions for the above equation are confirmed to be 1 and 2
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Solve quadratic problem in step by step answer
Orimath quadratic solver is a quadratic equation calculator that capable of solving quadratic equation and quadratic function. Orimath quadratic solver will not only tell the result of its computation, but also tell the steps required to do them. You may choose the solve method between quadratic formula, factorization and completing the square.
