Question

B :- Ja Max&B x2= 52-3 3= 58-3 find the Garad. whose roots are

JEE/Engineering Exams

Maths

Solution

4.0 (1 ratings)

( alpha^{2}=5 alpha-3= ) ( Rightarrow quad alpha^{2}-5 alpha+3=0 quad alpha=frac{5 pm sqrt{25-12}}{2} ) ( B^{2}=5 beta-3 quad ) So, ( quad beta=frac{5 pm sqrt{13}}{2}=frac{5 pm sqrt{13}}{2} ) So, ( hat{M}=frac{5+sqrt{13}}{2} ) ( beta=frac{5-sqrt{13}}{2} ) ( frac{alpha}{beta}=frac{5+sqrt{13}}{5-sqrt{13}}, frac{beta}{alpha}=frac{5-sqrt{13}}{5+sqrt{13}} ) ( frac{alpha}{beta} times beta_{alpha}=1=frac{C}{a} ) ( frac{alpha}{beta}+frac{beta}{alpha}=frac{alpha^{2}+beta^{2}}{alpha beta}=frac{25+13+25+13}{25-13} ) ( Rightarrow frac{frac{78}{12}}{frac{12}{3}}=frac{19}{2} ) ( x^{2}-frac{19}{3} x+1=0 ) requined quadratic equatuon.