If k is an integer, then x^(2) + 7x -1...

If k is an integer, then
`x^(2) + 7x -1 4(k^(2) - (7)/(8)) = 0` has

A

Both integral roots

B

At least one integral root

C

No integral root

D

Both positive integral roots

Verified by Experts

Similar Questions

Explore conceptually related problems

The value of k for which the equation (k-2) x^(2) + 8x + k + 4 = 0 has both roots real, distinct and negative, is

The integer k for which the inequality x^(2) - 2(4k-1)x + 15k^(2) - 2k - 7 gt 0 is valid for any x is :

If the equation 7x^(2)-kxy-7y^(2)=0 represents the bisectors of angles between the lines 2x^(2)-7xy+4y^(2)=0 then: k=

The integer k ,for which the inequality x^(2)-2(3k-1)x+8k^(2)-7>0 is valid for every x in R is

Determine k such that the quadratic equation x^(2)+7(3+2k)-2x(1+3k)=0 has equal roots :

If one of the roots of the quadratic equation x^(2) – 7x + k = 0 is 4, then find the value of k.

If 7x^(2)-kxy-7y^(2)=0 represents the joint equation of the bisectors of the angles between the lines given by 2x^(2)-7xy+4y^(2)=0 , then k=