Q 3 Exercise 4.3 Ch-4 Quadratic equations

Q4 exercise- 2.1

Find the roots of the quadratic equations (if they exist) by the method of completing the square. 4x^2+4sqrt(3)x+3=0

Find the roots of the quadratic equations by applying the quadratic formula. (i) 2x^2 -7x+3 =0 (ii) 2x^2+x-4 =0 (iii) 4x^2+4sqrt3x+3=0 (iv) 2x^2+x+4 = 0

Find the roost of the quadratic equation 3x^2 - 4sqrt3x + 4 = 0

Let p, q in R . If 2- sqrt3 is a root of the quadratic equation, x^(2)+px+q=0, then

Find the nature of roots of the quadratic equation 4x^(2)-5x+3=0 .

If alpha and beta are roots of the quadratic equation x ^(2) + 4x +3=0, then the equation whose roots are 2 alpha + beta and alpha + 2 beta is :

If 2 is a root of the quadratic equation 3x^2+p x-8=0 and the quadratic equation 4x^2-2p x+k=0 has equal roots, find the value of kdot

Solve the quadratic equation 2x^2-4x+3=0 by using the general expressions for the roots of a quadratic equation.