Find the value of k so that `A^2=8A+kI` where `A=[(1,0),(-1,7)].`

Find the value of k if 3^(k+8) = 27^(2k+1)

Find the values of k so that the quadratic equation x^(2)+2(k-1)x+k+5=0 has atleast one positive root

Find the values of k so that the quadratic equation x^(2)+2(k-1)x+k+5=0 has atleast one positive root.

Find the values of k so that the quadratic equation 2x^(2)-(k-2)x+1=0 has equal roots

Find the values of k for which the points (2k,3k),(1,0),(0,1), and (0,0) lie on a circle.

Find the value of k if the point (1, 2) lies on the curve (k-10)x^2+y^2-(k-7)x-(3k-27)y+11=0

Find the value of x so that (2^(-1)+4^(-1)+6^(-1)+8^(-1))^(x)=1

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.

Find the value of k so that the area of the triangle with vertices A(k+1, 1), B(4, -3) and C(7, -k) is 6 square units.