Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems If are the roots of the equation then the equation
MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials
Problem If α , β \alpha, \beta α , β x 2 − ( 5 + 3 log 3 5 − 5 log 5 3 ) x + 3 ( 3 ( log 9 55 ) 1 3 − 5 ( log 5 3 ) 2 3 − 1 ) = 0 x^2 - \left(5 + 3\sqrt{\log_3 5} - 5\sqrt{\log_5 3}\right)x + 3\left(3^{(\log_9 55)^{\frac{1}{3}}} - 5^{(\log_5 3)^{\frac{2}{3}}} - 1\right) = 0 x 2 − ( 5 + 3 log 3 5 − 5 log 5 3 ) x + 3 ( 3 ( l o g 9 55 ) 3 1 − 5 ( l o g 5 3 ) 3 2 − 1 ) = 0 α + 1 β \alpha + \frac{1}{\beta} α + β 1 β + 1 α \beta + \frac{1}{\alpha} β + α 1 3 x 2 − 20 x − 12 = 0 3x^2 - 20x - 12 = 0 3 x 2 − 20 x − 12 = 0 3 x 2 − 10 x − 4 = 0 3x^2 - 10x - 4 = 0 3 x 2 − 10 x − 4 = 0 3 x 2 − 10 x + 2 = 0 3x^2 - 10x + 2 = 0 3 x 2 − 10 x + 2 = 0 3 x 2 − 20 x + 16 = 0 3x^2 - 20x + 16 = 0 3 x 2 − 20 x + 16 = 0 Browse the problem library