`11:x=6:24` ,find the value of x

If x+1/x= sqrt3 , find the value of x^30+x^24+x^18+x^12+x^6+1 .

If x +2 is a factor of x^(3) + ax^(2) + 11 x + 6 , find the value of a.

If the product of the zeroes of the polynomial p(x)= ax^(2)+11x+12 is 6, find the value of a.

If |{:(x-1,1,1),(1,x+1,1),(-1,1,x+1):}|=0 , find the value of x.

If |{:(x+1,1,1),(1,x+1,1),(-1,1,x+1):}|=0 , find the value of 'x'.

If the mean of 26, 28, 25, x, 24 is 27, find the value of x

If (x+4) is a factor of x^2 +mx =24 , then find the value of m.

If D_x =24 ,x=-3, find the value of D.

If x = 23, find the value of x^(8) – 24x^(7) +24x^(6) - 24x^(5) + 24x^(4) - 24x^(3) + 24x^(2) – 24x +1 (a)−22 (b)−20 (c)−18 (d)−24

If the value of the 5th term be 24 times the value of the 3rd term in the expansion of (1+x)^(11) , find the value of x .