" 16."x^(2)+x-(a+1)(a+2)=0

16. "4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1).

Factorize 16x^(2) + (1)/(16x^(2)) -2

(x^(2)-16)/(x-4)>=0

In the following,determine whether the given quadratic equations have real roots and if so, find the roots: 16x^(2)=24x+1 (ii) x^(2)+x+2=0

Determine the nature of the roots of the following quadratic equations from their discriminant : (i) 3y^(2) + 9y+4=0 (ii) 2x^(2) + 5 sqrt(3)x + 16=0 (iii) 4x^(2) + 12x + 9=0 (iv) m^(2) + sqrt(2) m +1=0 (v) x^(2) - (1)/(2) x + (1)/( 16) = 0 (vi) x^(2) - 4x -4=0

The quadratic equation whose roots are sin^(2)18^(0)&cos^(2)36^(0) is (А) 16x^(2)-12x+1,=0 (В) 16x^(2)+12x+1=0 (C) 16x^(2)-12x-1=0 (D) 16x^(2)-10x-1=0

Let two numbers have arithmatic mean 9and geometric mean 4 .Then these numbers are roots of the equation (a) x^(2)+18x+16=0 (b) x^(2)-18x-16=0 (c) x^(2)+18x-16=0( d) x^(2)-18x+16=0