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Find the nature of roots of the followin...

Find the nature of roots of the following quadratic equations. If the real roots exist,
(i) `2x^(2)-3x+5=0` (ii) `3x^(2)-4sqrt3x+4=0` (iii) `2x^(2)-6x+3=0`

Text Solution

AI Generated Solution

To find the nature of the roots of the given quadratic equations, we will calculate the discriminant (D) for each equation. The discriminant is given by the formula: \[ D = B^2 - 4AC \] Where \( A \), \( B \), and \( C \) are the coefficients from the quadratic equation in the standard form \( Ax^2 + Bx + C = 0 \). Let's solve each equation step by step. ...
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