Discuss the nature of the roots of the following quadratic equations: `3x ^2 −2x+1/3=0`

Find the nature of roots of following quadratic equations. 2x ^2 +x−1=0

Find the roots of the following quadratic equation: 2/5x^2-x-3/5=0

Determine the nature of the roots of the following quadratic equations: (i) 2x^2-3x+5=0 (ii) 2x^2-6x+3=0 (iii) 3/5x^2-2/3x+1=0

Determine the nature of the roots of the following quadratic equations: 2x^2+x-1=0 x^2-4x+4=0 x^2+x+1=0 4x^2-4x+1=0 2x^2+5x+5=0

Determine the nature of the roots of the following quadratic equations: (i) 3x^2-4sqrt(3)x+4=0 (ii) 3x^2-2sqrt(6)x+2=0 (iii) (x-2a)(x-2b)=4a b

Solve the following quadratic equation: (3x-5)(2x+3)=0

Solve the following quadratic equations. x^(2)-3x+2=0

. Find the roots of the following quadratic equation : x^2 - 3 sqrt5 x + 10 = 0

. Find the roots of the following quadratic equation : x^2 - 3 sqrt5 x + 10 = 0

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: (i) 2x^2-3x+5=0 (ii) 3x^2-4sqrt(3)x+4=0 (iii) 2x^2-6x+3=0