Question

In the following questions two equations numbered I and II are given. You have to solve both the equations. Give answer if;

I. 3x2 - 14x + 15 = 0

II. 15y2- 34 y + 15 = 0

A If x = y or relationship between x and y cannot be established. Correct Answer Incorrect Answer
B if x > y Correct Answer Incorrect Answer
C if x < y Correct Answer Incorrect Answer
D if x ≥ y Correct Answer Incorrect Answer
E if x ≤ y Correct Answer Incorrect Answer

Solution

I. 3x2- 14x + 15 = 0 3x2 - 9x - 5x + 15 = 0 3x(x – 3) – 5(x – 3) = 0 (x – 3) (3x – 5) = 0 x = 3 , 5/3 II. 15y² - 34y + 15 = 0 15y² - 25y - 9y + 15 = 0 5y(3y – 5) – 3(3y – 5) = 0 (3y – 5) (5y – 3) y = 5/3 , 3/5 Hence, x ≥ y

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