" 1.) "x^(2)-4sqrt(2x)+6=0

Find the roots (if they exist) by completing the square: x^(2)-4sqrt(2x)+6=0

Solve by factorization: x^(2)-4sqrt(2)x+6=0

(x-sqrt(2)) is a factor of (7x^(2)-4sqrt(2)x-6)

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

Solve by factorization: x^2-4sqrt(2)x+6=0

lim_(x rarr0)(3sqrt(1+x^(2))-4sqrt(1-2x))/(x+x^(2)) is equal to

For the equation 2x^(2)-6sqrt(2)x-1=0

For the equation 2x^(2)-6sqrt(2)x-1=0

In each of the following, determine whether the given values are solutions of the given equation or not: (i) x^2-3x+2=0,\ \ x=2,\ x=-1 (ii) x^2+x+1=0,\ \ x=0,\ x=1 (iii) x^2-3sqrt(3)x+6=0,\ \ x=sqrt(3),\ \ x=-2sqrt(3) (iv) x+1/x=(13)/6,\ \ x=5/6,\ \ x=4/3

In each of the following, determine whether the given values are solutions of the given equation or not: x^2-3x+2=0, x=2, x=-1 (ii) x^2+x+1=0, x=0, x=1 (iii) x^2-3sqrt(3)x+6=0, x=sqrt(3), x=-2sqrt(3) (iv) x+1/x=(13)/6, x=5/6, x=4/3