How to solve a quadratic equation

Topic:- quadratic equation

A quadratic equations is very similar to a a polynomial equation but it is of the second degree. The general form is

where x represents a variable, and a, b, and c, represent constants, with a ≠ 0. (If a = 0, the equation becomes a linear equation.)
The constants a, b, and c, are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. Quadratic comes from quadratus, which is the Latin word for "square."

This math help is having a example as well.

Question:-

Solve
x²+8x+2=0

Answer:-

 x2+8x+2=0

Completion of squares:-

x2+8x= -2

Take half of 8,square it and add it on both sides

half of 8 is 4

Squaring 4 ,we get 16.


Add 16 on both sides of above equation.

x2+8x+16= -2+16

(x+4)2= 14

Taking squaring on both sides


x+4 = √14

 x= -4 + √14 or -4 - √14

For more help on this ,please reply me.