if `(x-a)(x-5)+2=0` has only integral roots where `a in I ,` when value of `' a '` can be: `8` b. `7` c. `6` d. `5`

if (x-a)(x-5)+2=0 has only integral roots where a in I , then value of ' a ' can be: a. 8 b. 7 c. 6 d. 5

If x^(2)+2bx+9b-14=0 has only negative roots then integral value of 'b' can be

The total number of values a so that x^2-x-a=0 has integral roots, where a in Na n d6lt=alt=100 , is equal to a.2 b. 4 c. 6 d. 8

The total number of values a so that x^2-x-a=0 has integral roots, where a in Na n d6lt=alt=100 , is equal to a. 2 b. 4 c. 6 d. 8

The total number of values a so that x^2-x-a=0 has integral roots, where a in Na n d6lt=alt=100 , is equal to a. 2 b. 4 c. 6 d. 8

The total number of values a so that x^2-x-a=0 has integral roots, where a in Na n d6lt=alt=100 , is equal to a. 2 b. 4 c. 6 d. 8

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is

If f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is

f(x) is a cubic polynomial x^3 + ax^2+ bx + c such that f(x)=0 has three distinct integral roots and f(g(x)) = 0 does not have real roots, where g(x) = x^2 + 2x - 5, the minimum value of a + b + c is