Question

3. vuruus vra is the ratio of the roots of the equation x' + ax + a + 2 = 0 equal to 2 ? For what values of a do the roots x, and x, of the equation x2 - (3a + 2)x+ a2 = 0 satisfy the relation x = 9x, ? Find the roots. indul 1 15

JEE/Engineering Exams

Maths

Solution

103

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Q ( x_{1} ) cmax ( _{2} ) one roots of eques. ( x^{2}-(3 a+2) x+a^{2}=0 ) A dd of reots ( x_{1}+x_{2}=3 a+2 ) multipliciofnos ( x, x_{2}=a^{2} ) given ( x_{1}=9 x_{2} ) ( sin (2) quad g x_{2}^{2}=a^{2} ) ( x_{2}^{2}=frac{a^{2}}{9} ) ( x_{2}=frac{9}{3} ) from ( x_{1} cdot frac{alpha}{3}=a^{x} ) ( x_{1}=3 a ) ( x_{1}=3 a, x_{2}=a / 3 ) Kartikey rey macinye