The roots of `(x + a) (x + b) - 8k = (k - 2)^2` are real and equal where `a,b,c in R` then

Complete the following activity to find the value of k, if the roots of 2x^(2) - 6x+ k = 0 are real and equal. Here, a=2,b= -6 ,c = k . The roots are real and equal. :. b^(2) - 4ac = square b^(2)- 4ac = square - 4(2) ( k ) = 0 :. square - 8 k = 0 :. 8 k = 36 :. k = square

if the roots of (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are real and equal then a,b,c are in

If the roots of (a-b)x^(2)+(b-c)x+(c-a)=0 are real and equal, then prove that b, a, c are in arithmetic progression.

If the roots of 2x^2-6x+k=0 are real and equal , find k.

The roots of x^(2)+kx+k=0 are real and equal, find k.

The roots of x^(2)+kx+k=0 are real and equal, find k.

Column I, Column II If a ,b ,c ,a n dd are four zero real numbers such that (d+a-b)^2+(d+b-c)^2=0 and he root of the equation a(b-c)x^2+b(c-a)x=c(a-b)=0 are real and equal, then, p. a+b+c=0 If the roots the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are real and equal, then, q. a ,b ,ca r einAdotPdot If the equation a x^2+b x+c=0a n dx^3-3x^2+3x-0 have a common real root, then, r. a ,b ,ca r einGdotPdot Let a ,b ,c be positive real number such that the expression b x^2+(sqrt((a+b)^2+b^2))x+(a+c) is non-negative AAx in R , then, s. a ,b ,ca r einHdotPdot

If the roots of the equation x^2+2c x+a b=0 are real and unequal, then the roots of the equation x^2-2(a+b)x+(a^2+b^2+2c^2)=0 are: (a) real and unequal (b) real and equal (c) imaginary (d) rational

If the roots of the equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 are real where a,b,c,d in R ,then they are Rational Irrational Equal unequal

If the roots of 2x^(2)-6x+k=0 are real and equal, find k.