Q 1 Exercise 4.2 Ch-4 Quadratic equations

Q4 exercise- 2.1

Q5 exercise- 2.1

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……………….

Q6, exercise- 2.1

Q7, exercise- 2.1

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 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 :

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

If p and q are roots of the quadratic equation x^(2) + mx + m^(2) + a = 0 , then the value of p^(2) + q^(2) + pq , is