Q 1 Ex 4.1 Ch-4 Quadratic equations

Most important question class 10 chapter 4 Quadratic equation

Find the roots of the quadratic equations by using the quadratic formula 1/2 x^(2)-sqrt(11)x+1=0

Each root of the equation ax^2 + bx + c = 0 is decreased by 1. The quadratic equation with these roots is x^2 + 4x + 1 = 0 . The numerical value of b + c is……………….

If-4 is a root of the quadratic equation x^2+p x-4=0 and the quadratic equation x^2+p x+k=0 has equal roots, find the value of kdot

The roots of the quadratic equation 4x^(2)-(5a+1)x+5a=0 , are p and q. if q=1+p, calculate the possible values of a,p and q.

If alpha and beta are the roots of a quadratic equation such that alpha+beta=2, alpha^4+beta^4=272 , then the quadratic equation is

If alpha and beta are the roots of the quadratic equation x^(2) + px + q = 0 , then form the quadratic equation whose roots are alpha + (1)/(beta), beta + (1)/(alpha)

Find the value of k for which the quadratic equation (k+4)x^2+(k+1)x+1=0 has equal roots

If alpha and beta are the roots of the quadratic equation 4x ^(2) + 2x -1=0 then the value of sum _(r =1) ^(oo) (a ^(r ) + beta ^(r )) is :