Q 6 EXERCISE 4.3 Ch -4 Quadratic Equations

Most important question class 10 chapter 4 Quadratic equation

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

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

The values of k for which the quadratic equation 16 x^2+4k x+9=0 has real and equal roots are (a) 6,\ -1/6 (b) 36 ,\ -36 (c) 6,\ -6 (d) 3/4,\ -3/4

if a=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose roots are alpha=a+a^2+a^4 and beta=a^3+a^5+a^6 .

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

If p ,q ,r are positive and are in A.P., the roots of quadratic equation p x^2+q x+r=0 are all real for a. |r/p-7|geq4sqrt(3) b. |p/r-7|geq4sqrt(3) c. all p and r d. no p and r

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

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