Quadratic Equations

I am sure, you guys have solved equations, there are many different types of algebraic equations and one among them is Quadratic equations. I am going to discuss Quadratic equations in this post and as usual this will also be very useful as the previous ones.

The term "quadratic" comes from quadratus, which is the latin for "square."

A quadratic equation is a polynomial equation of the second The general form is

here x represents a variable and a, b and c represents the constants. The constants a, b and c are called quadratic coefficient.

The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term divided by the leading coefficient.

The product of the roots of a quadratic equation is equal to the constant term divided by the leading coefficient.


There are two ways of solving quadratics: factoring and using the Quadratic formula.

Well, i will solve a Quadratic equation, which will help you understand it.

Example Problem 1:

solve the equation: 15 – 2x – x2=0

Solution:

Writing in the standard form,

15 – 2x – x2 = –x2 – 2x + 15

= (–1) (x2 + 2x – 15).

Here, we find –15 = 5 × –3, 5 + (–3) = 2

Hence, we get 15 – 2x – x2 = (–1) [(x+5) {x + (–3)}]

(–1) (x +5)(x – 3) = 0

(x + 5) (3 – x). = 0

X= -5,-3 (Answer)

Wasn't this an easy method to solve Quadratic equation, now its your turn try it out and let me know by just sending me your comment on this post.