If `2(x^2 + 1) = 5x,` find :

If x + (1)/(x) = 5 find x ^(2) + (1)/(x ^(2))

(i) If p(x)=3x^(2)-5x+6 , find p(2) . (ii) If q(x)=x^(2)-2sqrt(2)x+1 , find q(2sqrt(2)) . (iii) If r(x)=5x-4x^(2)+3 find r(-1) .

If x = (1)/(x- 5) , find: x^(2)- (1)/(x^(2))

If x = (1)/(x- 5) , find: x^(2) + (1)/(x^(2))

If alpha,beta are zeros of 2x^2 – 5x + 1 find a quadratic polynomial whose zeroes are 2alpha and 2beta .

If 5x - (1)/(2x) = 3 , then find 25x^(2) + (1)/(4x^(2)) .

If |A| = 2 and A = [ (2x, 6) , (5x, 1)] then find the value of x

If |A| = 2 and A = | (2x, 6) , (5x, 1)| then find the value of x