Q 6 EXERCISE 4.2 Ch -4 Quadratic Equations

Most important question class 10 chapter 4 Quadratic equation

If alpha != beta but, alpha^(2) = 4alpha - 2 and beta^(2) = 4beta - 2 then the quadratic equation with roots (alpha)/(beta) and (beta)/(alpha) is

Root of the quadratic equation x^2+6x-2=0

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 alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0 , then find the quadratic equation whose roots are (alpha-beta)^(2)and(alpha+beta)^(2) .

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 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

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

Write the value of k for which the quadratic equation x^2-k x+4=0 has equal roots.

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