Transformation of Equations

JEE Main Mathematics · Quadratic Equations · 2 questions, latest first

• Let α, β be the roots of the equation x^2-√2 x+√6=0 and 1/(α^2)+1, 1/(β^2)+1 be the roots of the equation x^2+a x+b=0. Then the…202228 July, Shift 2 · Q62
• If α, β are the roots of the equation x^2-(5+3^√(log_3 5)-5^√(log_5 3))+3(3^( log_3 5)^(1/3)-5^( log_5 3)^(2/3)-1)=0, then the…202227 July, Shift 2 · Q3