`x^2 - (sqrt 7 + 1) x + sqrt 7 = 0`

Complete the following activity to solve the quadratic equation sqrt(3) x^(2) +4x- 7 sqrt(3) = 0 by factorisation method : sqrt(3) x^(2) +4x- 7 sqrt(3) = 0 :. sqrt(3) x^(2) + square - 3x - 7 sqrt(3) = 0 :. x( sqrt(3) x + ) - sqrt(3) ( sqrt(3) x + 7) = 0 :. (" ") (x-sqrt(3))= 0 :. sqrt(3) x + 7 = 0 or square = 0 :. x = ( -7)/( sqrt(3)) or x = square :. (-7)/(sqrt(3)) and sqrt(3) are the roots of the equation.

Solve the following quadratic equations : (i) 9x^(2) - 8x+2=0 (ii) sqrt7 x^(2) +x+ sqrt7=0 (iii) 2sqrt3x^(2) -sqrt2 x + 3sqrt3 =0

{:(sqrt(5)x - sqrt(7)y = 0),(sqrt(7)x - sqrt(3)y = 0):}

If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

Find the roots of the quadratic equation sqrt2 x^(2) + 7x + 5 sqrt2 = 0 .

If sqrt(3x - 7) + sqrt(3x + 7) = 4 + sqrt(2) then value of x + 1/x is