In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. 3x² –7x + 4 = 0
II. 2y² – 9y + 10 = 0
I. 3x² –7x + 4 = 0 ⇒ 3x²– 4x - 3x +4 = 0 ⇒ (3x – 4) (x -1) = 0 x = 4/3 or 1 II. 2y² - 9y + 10 = 0 ⇒ 2y² - 4y - 5y + 10 = 0 ⇒ (2y - 5) (y -2) =0 ⇒ y = 5/2 or 2 Hence, y > x Alternate Method: if signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve. So, roots of first equation = x = 4/3, 1 So, roots of second equation = y = 5/2, 2 After comparing roots of quadratice eqution we can conclude that y > x.
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