CAN ANYONE GIVE ME THE EXPLANATION OF SREEDHAR ACHARYA＇S QUADRATIC EQUATION LAW.....WITH PROPER EXAMPLE......（BTW ...I SOMETIME THINK WHY HE FORMULATED THIS LAW .... :'(）
Answers
Answer: Sridhar Aacharya 's quadratic equation says that a quadratic equation in two variable X is an equation of the form Ax² + bx + c = 0
where we a, b, c are real number and a is not equal to zero ((( it will become linear equation ---(0)x²+bx+c=0
bx+c=0 )))
He gave this law for solving quadratic equation by the method of completing the square.
According to this formula the roots of quadratic equations are given by-
Answer:
When a quadratic equation of ax^2+bx+c=0 cannot be factorised using simple factorization method,we generally tend to use "Quadratic Formula" or Sridhara Acharya Formula.
The formula is x= (-b +/- √b^2-4ac)/2a
Let's consider an example:
4x^2 +17x-21=0. (Note:This can be done in factorization method as well)
Using the Quadratic Formula we get--
Comparing a=4,b=17 and c=-21, we get
x={-17+/-√17^2-4(4)(-21)}/2×4
x= (-17+/-√289+336)/8
x= (-17+/-√625)/8
Either x= (-17+25)/8 OR X=(-17-25)/8
x=1,-5.25
HOPE THIS HELPS...