Consider the quadratic equation .

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Consider the quadratic equation 3x2−8x+4=03x^2-8x+4=0. (i) Calculate the discriminant of the equation. (ii) Hence find both roots of the equation. (iii) Verify that the sum and product of the roots obtained satisfy the relationships α+β=−ba\alpha+\beta=-\frac{b}{a} and αβ=ca\alpha\beta=\frac{c}{a}.

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