" 26."3x^(2)-2sqrt(6)x+2=0" ."cos in2010,121

Solve 2x^(2) - 2 sqrt6x + 3 = 0

solve by factorisation: 3x^(2)-2sqrt(6)x+2=0 and (1)/(x-1)-(1)/(x+5)=(6)/(7)

2sin^(2)x+sqrt(3)cos x+1=0

Find the discriminant of each of the following equations: (i) 2x^(2)-7x+6=0" "(ii)" "3x^(2)-2x+8=0 (iii) 2x^(2)-5sqrt(2)x+4=0" "(iv)" "sqrt(3)x^(2)+2sqrt(2)x-2sqrt(3)=0 (v) (x-1)(2x-1)=0" "(vi)" "1-x=2x^(2)

If (5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10, then x=----------

sqrt(2)cos^(2)7x-cos7x=0

The value of lim_(xrarrpi//2)12 tan^(2)x[sqrt(6+3 sin x-2cos^(2)x)-sqrt(3+6 sin x-cos^(2)x)] is _____________

The value of the limit lim_(x to pi/2) (4sqrt2)(sin3x +sinx)/((2 sin 2x sin. (3x)/2 +cos. (5x)/2)-(sqrt(2)+sqrt(2)cos 2x +cos. (3x)/2)) is _______