Quadratic Equations - MATHEMATICS
An equation of the form ax2 +bx +c =0 is called a 
in one variable, where a, b, c are real numbers and a ≠0. It’s a 
. There are various 
, they are (i) 
(ii) 
(iii) 
(iv) 
.
In factorization method the quadratic equation is solved by splitting them into factors.
In
the quadratic equation is converted into either 
or 
The quadratic formula to find the
are 
where 
is called the discriminant of the quadratic equation denoted by D or D. The sum of the roots of the quadratic equation is 
or 
and the product of the roots of the quadratic equation is 
or 
.
If D=0 roots are real and equal , D>0 roots are real and unequal, D<0 roots are imaginary.
The graph of a quadratic equation is a parabola. It depends on the value of ‘a’, if a>0 the parabola opens upwards, a<0parabola opens downwards.
If D>0 parabola intersects x-axis at two distinct points, D<0 parabola does not intersect the parabola and D=0 parabola touches x-axis at only one point.
in one variable, where a, b, c are real numbers and a ≠0. It’s a . There are various , they are (i) (ii) (iii) (iv) .In factorization method the quadratic equation is solved by splitting them into factors.
In
the quadratic equation is converted into either or The quadratic formula to find the
are where is called the discriminant of the quadratic equation denoted by D or D. The sum of the roots of the quadratic equation is or and the product of the roots of the quadratic equation is or .If D=0 roots are real and equal , D>0 roots are real and unequal, D<0 roots are imaginary.
The graph of a quadratic equation is a parabola. It depends on the value of ‘a’, if a>0 the parabola opens upwards, a<0parabola opens downwards.
If D>0 parabola intersects x-axis at two distinct points, D<0 parabola does not intersect the parabola and D=0 parabola touches x-axis at only one point.
