Short-answer type questions (S.A.) :
For what value of k, 1 is a root of the equation `x+(k)/(x)=2`?

For what value of k, -2 is a root of the equation 3x^(2)+4x+2k=0 ?

For what value of k, is 3 a root of the equation 2x^(2)+x+k=0 ?

For what value of k(-a) is a root of the quadratic equation 2x^(2)+3ax+k=0 ?

For what values of k ,the roots of the equation x^(2)+4x+k=0 are real?

For what values of k , the roots of the equation x^(2) + 4x + k = 0 are real ?

For what values of k are the roots of the equation kx^(2)+4x+k=0 real and unequal ?

Short-answer type questions (S.A.) : If one root of the quadratic equation 3x^(2)+sqrt2x+a=0" be "sqrt2 , then find the value of a.

Short-answer type questions (S.A.) : (i) Solve : x+(1)/(x)=(13)/(6)

Short-answer type questions (S.A.) : Prove that the quadratic equation x^(2)-6x+5=0 have the roots 1 and 5.

If -2 is a root of the equation 3x^(2)+7x+p=0, find the value of k so that the roots of the equation x^(2)+k(4x+k-1)+p=0 are equal.