2sqrt(3)x^(2)+x-5sqrt(3)

2sqrt(3)x^(2)-5x+sqrt(3)

Find the roots of each of the following equations, if they exist, by applying the quadratic formula: 2sqrt(3)x^(2)-5x+sqrt(3)=0

2sqrt(3)x^2 -5x+sqrt(3) .Find roots.

Examples based on the middle term concepts : (i)4sqrt(3)x^(2)+5x-2sqrt(3)(ii)5sqrt(5)x^(2)+30x+8sqrt(5)

6sqrt(3)x^(2)-47x+5sqrt(3)

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients: 2sqrt3 x^(2) - 5x+sqrt3

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

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

Factorize each of the following expressions : (i) 4sqrt(3)x^2+5x-2sqrt(3) , (ii) 5sqrt(5)x^2+30 x+8sqrt(5)

sqrt(5)x^(2)+2x-3sqrt(5)