QUADRATIC EQUATIONS

Quadratic equations general form☝️

1.quadratic equations-study materials
This is all about quadratic equations..

Roots of Quadratic Equation:
For a quadratic equation ax2 + bx + c where a ≠ 0, the roots will be given by the equation as −b±b2−4ac√2a
Δ = b2 − 4ac is called the discriminant
For real and distinct roots, Δ > 0
For real and coincident roots, Δ = 0
For non-real roots, Δ < 0
If α and β are the two roots of the equation ax2 + bx + c then, α + β = (-b / a) and α × β = (c / a).
If the roots of a quadratic equation are α and β, the equation will be (x − α)(x − β) = 0
Factorials
n! = (1).(2).(3)…..(n − 1).n
n! = n(n − 1)! = n(n − 1)(n − 2)! = ….
0! = 1
(a+b)n=an+nan−1b+n(n−1)2!an−2b2+n(n−1)(n−2)3!an−3b3+….+bn,where,n>1