Quadratic equation is one of the most interesting equations in the world of mathematics. It is an equation I which the highest power of its variable (or better still the unknown) is two(2).
General form of quadratic equation.
The general form of a quadratic equation is written as:
ax^2 +bx +c =0
Where a, b and c are numerical figures (that is; constants)
And x is a variable (that is; an unknown)
Methods of solving Quadratic equation
Owing to its broad application in real life situation, there are four basic ways in finding solution to a given quadratic equation. They include:
Factorisation method
Completing of squares method
Formula method
Graphical method
Today we shall treat one of the methods above that is the factorization method,
Factorization method of solving quadratic equation
Below the procedure involve in solving quadratic equation by the fatorisation method
Step1: find the product of the first and third (last) term
Step2: find two factors of the product in step 1 above, such that their sum equals the middle term
Step3: Substitute (or replace) the middle term with the factors in step2 above
Step3: proceed to factorise by grouping terms in pairs.
Practical application
Let’s now apply the procedure above in solving a quadratic equation with figures.
Solved example:
Find the solution to the quadratic equation
X^2 - 6x - 8 = 0
I hope you were educated and entertained 😊
Next time we will be looking at Solving quadratic equation by completing of squares method
Thanks for your time
