Question

what are methods to solve quadratic equation

Answer 1

1. Middle term splitting
x²+7x+10=0
x²+5x+2x+10=0



2. Hit and trial method
By putting different values in place of x until the equation is equal to 0.




3. Discriminant formula
Here, x= - b +root D /2a
And x = - b - root D/2a

Thank you...

Answer 2

Step-by-step explanation:

Well, there are following two methods for solving quadratic equation:-

1. By Factorisation method:-

         If ax² + bx + c can be factorised as ( x - α ) ( x - β ) then ax² + bx + c = 0 is equivalent to (x - α) (x - β) = 0

Thus,        (x - α) (x - β) = 0

               (x - α) = 0 or (x - β) = 0

                x = α or x = β

Here, α and β are called roots of equation ax² + bx + c = 0

2. By Sridharacharya's Method:-

          Using quadratic formula, write the quadratic in the standard form ax² + bx + c = 0 then roots are,

    α = - b + √b² - 4ac / 2a     ,       β = - b - √b² - 4ac / 2a

Here, D = b² - 4ac is called the 'discriminant' of quadratic equation.