CAT 2019 Linear and Quadratic Equations Question (Medium)

Question

The quadratic equation has two roots and , where is an integer. Which of the following is a possible value of ?

Accepted Answer

Step 1 Given roots of the quadratic equation are 4a and 3a Sum of roots b 4a 3a 7a b b 7a Product of roots c 4a 3a 12a c We are asked to find the value of b c Step 2 Substitute b and c b 7a b 49a c 12a So b c 49a 12a 61a Step 3 We are told to find a possible value of b c Try values of a such that 61

CAT 2019

Quantitative

Linear and Quadratic Equations

Medium

The quadratic equation $x^2 + bx + c = 0$ has two roots $4a$ and $3a$ , where $a$ is an integer. Which of the following is a possible value of $b^2 + c$ ?

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