Quadratic Equations - Tips and Tricks!

1. To solve equation of the form (x - a)^4 + (x-b)^4= A [or in general (x - a)^2n + (x-b)^2n ]put y = x - (a+b)/2 and simplify.

2. To solve equation of the form Af(x)^2n + Bf(x)^n + C = 0 put f(x)^n = y and solve Ay^2 + By + C = 0

3. An equation of the form f(x) x g(x) X h(x) X .... [f,g and h are quadratic expressions with different constant terms but same coefficients of x and x^2 ie: ax^2 + bx ] can be solved by putting ax^2 + bx = y

4. An equation of the form (x-a)(x-b)(x-c)(x-d) = Ax^2 where 'ab = cd' can be reduced to a product of two polynomials by putting y = x + ab/x

5. An equation of the form (x-a)(x-b)(x-c)(x-d) = A where 'a < b < c < d' , ' b-a = d-c' can be solved by putting y = x - 1/4 [a + b + c + d]


Note: ' ^ ' symbol implies raised to the power of ! Blogger does not accept [sub], [/sub] tags!
Thats all for now! Do rate it