1.If α,β\alpha, \betaα,β are the roots of the equation(5+3log35)x2−(5log53)x+3log35⋅log53−1=0\left(5 + 3\sqrt{\log_3 5}\right) x^2 - \left(5\sqrt{\log_5 3}\right) x + 3\sqrt{\log_3 5} \cdot \sqrt{\log_5 3} - 1 = 0(5+3log35)x2−(5log53)x+3log35⋅log53−1=0then the equation whose roots are α+1β\alpha + \dfrac{1}{\beta}α+β1 and β+1α\beta + \dfrac{1}{\alpha}β+α1 is:a.3x2−20x−12=03x^2 - 20x - 12 = 03x2−20x−12=0b.3x2−10x−4=03x^2 - 10x - 4 = 03x2−10x−4=0c.3x2−10x+2=03x^2 - 10x + 2 = 03x2−10x+2=0d.3x2−20x+16=03x^2 - 20x + 16 = 03x2−20x+16=0Login to continueOnly logged in users canattempt or see the solution.
