Let `f(x) = x2 + b_1x + c_1. g(x) = x^2 + b_2x + c_2`. Real roots of `f(x) = 0` be `alpha, beta` and real roots of `g(x) = 0` be `alpha+gamma, beta+gamma`. Least values of `f(x)` be `- 1/4`Least value of `g(x)` occurs at `x=7/2`

Let f(x) = x^2 + b_1x + c_1 . g(x) = x^2 + b_2x + c_2 . Real roots of f(x) = 0 be alpha, beta and real roots of g(x) = 0 be alpha+gamma, beta+gamma . Least values of f(x) be - 1/4 Least value of g(x) occurs at x=7/2

Letf(x)= x^2+b_1x+c_1 ,g(x)= x^2+b_2x+c_2 . Real roots fo f(x)=0 be alpha,beta and real roots ofg(x)=0 be alpha+delta,beta+delta .Least value of f(x) be -1/4. Least value of g(x) occurs at x=7/2 The least value of g(x) is

Let f(x)=x^(2)+bx+c and g(x)=x^(2)+b_(1)x+c_(1) Let the real roots of f(x)=0 be alpha, beta and real roots of g(x)=0 be alpha +k, beta+k fro same constant k . The least value fo f(x) is -1/4 and least value of g(x) occurs at x=7/2 The roots of g(x)=0 are

Let f(x)=x^(2)+bx+c and g(x)=x^(2)+b_(1)x+c_(1) Let the real roots of f(x)=0 be alpha, beta and real roots of g(x)=0 be alpha +k, beta+k fro same constant k . The least value fo f(x) is -1/4 and least value of g(x) occurs at x=7/2 The roots of g(x)=0 are

Let f(x)=x^(2)+bx+c and g(x)=x^(2)+b_(1)x+c_(1) Let the real roots of f(x)=0 be alpha, beta and real roots of g(x)=0 be alpha +k, beta+k fro same constant k . The least value fo f(x) is -1/4 and least value of g(x) occurs at x=7/2 The roots of g(x)=0 are

Let f(x)=x^(2)+bx+c and g(x)=x^(2)+b_(1)x+c_(1) Let the real roots of f(x)=0 be alpha, beta and real roots of g(x)=0 be alpha +k, beta+k fro same constant k . The least value fo f(x) is -1/4 and least value of g(x) occurs at x=7/2 The roots of g(x)=0 are

Let f(x)=x^(2)+bx+c and g(x)=x^(2)+b_(1)x+c_(1) Let the real roots of f(x)=0 be alpha, beta and real roots of g(x)=0 be alpha +k, beta+k fro same constant k . The least value fo f(x) is -1/4 and least value of g(x) occurs at x=7/2 The roots of g(x)=0 are

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

Let f (x)=x^2+b_1x+c_1 and g(x)=x^2+b_2x+c_2 . When f(x)=0 then the real roots of f(x) are alpha,beta and when g(x)=0 then the real roots of g(x) are alpha+h,beta+h . Minimum value of f(x) is -1/4 and when x= 7/2 then value of g(x) will be minimum. Roots of g(x)=0 are-

Let f (x)=x^2+b_1x+c_1 and g(x)=x^2+b_2x+c_2 . When f(x)=0 then the real roots of f(x) are alpha,beta and when g(x)=0 then the real roots of g(x) are alpha+h,beta+h . Minimum value of f(x) is -1/4 and when x= 7/2 then value of g(x) will be minimum. Minimum value of g(x) is-