Question

Find a quadratic equation whose roots are root 2 and 1/3

Answer 1

Sum of roots of a quadratic equation

$= \frac{ - b}{a}$

ATQ

$\alpha + \beta = 2 + \frac{1}{3 } = \frac{7}{3}$

So b= -7

and a = 3

Product of roots of quadratic equation

$= \frac{c}{a}$

ATQ

$\alpha \beta = 2 \times \frac{1}{3} = \frac{2}{3}$

So c= 2

So the quadratic equation formed is

3X2 -7x+2

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