`(x+sqrt(2))(x-sqrt(3))=0`

Solve by factorization: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0

Solve the following quadratic equation: \ x^2-(3sqrt(2)-2i)x-sqrt(2)i=0

Write the discriminant of the following quadratic equations: sqrt(3)x^2+2sqrt(2)x-2sqrt(3)=0 (ii) x^2-x+1=0

Write the discriminant of the following quadratic equations: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0 (ii) x^2+x+1=0 (iii) x^2+p x+2q=0

The equations of lines passing through the point (1,0) and at distance of (sqrt(3))/(2) units from the origin are (i) sqrt(3)x+y-sqrt(3)=0,sqrt(3)x-ysqrt(3)=0 (ii) sqrt(3)x+y+sqrt(3)=0,sqrt(3)x-y+sqrt(3)=0 (iii) x+sqrt(3)y-sqrt(3)=0,x-sqrt(3)y-sqrt(3)=0 (iv) none of these

If A,B,C are the angles of a given triangle ABC . If cosA.cosB.cosC= (sqrt3-1)/8 and sinA.sinB.sinC= (3+sqrt3)/8 The cubic equation whose roots are tanA, tanB, tanC is (A) x^3-(3+2sqrt(3))x^2+(5+4sqrt(3))x-(3+2sqrt(3))=0 (B) x^3-(3+-2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0 (C) x^3+(3+2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0 (D) x^3-(3+2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,\ \ \ \ sqrt(3)x-sqrt(8)y=0

Solve the following system of equations: sqrt(2)x-sqrt(3)y=0,\ \ \ \ sqrt(3)x-sqrt(8)y=0

Solve using cross-multiplication {:(sqrt(2)x-sqrt(3)y=0),(sqrt(5)x+sqrt(2)y=0):}

The equation of the lines passing through the point (1,0) and at a distance (sqrt(3))/2 from the origin is (a) sqrt(3)x+y-sqrt(3) =0 (b) x+sqrt(3)y-sqrt(3)=0 (c) sqrt(3)x-y-sqrt(3)=0 (d) x-sqrt(3)y-sqrt(3)=0