Priya frames a quadratic equation x^2 - bx + c = 0 in which one root is 5 more than the other, and the product of the roots is 36. What is the smaller root?

Question

Accepted Answer

4. Let roots r and r+5 with r(r+5) = 36, i.e. r^2 + 5r - 36 = 0 = (r+9)(r-4). Positive root r = 4 (other root 9, product 36). Smaller root = 4.

Priya frames a quadratic equation $x^{2} - b x + c = 0$ in which one root is 5 more than the other, and the product of the roots is 36.
What is the smaller root?

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More Class 10 Sum and Product of Roots practice

Priya frames a quadratic equation x2−bx+c=0 in which one root is 5 more than the other, and the product of the roots is 36.What is the smaller root?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Sum and Product of Roots practice

Priya frames a quadratic equation $x^{2} - b x + c = 0$ in which one root is 5 more than the other, and the product of the roots is 36.
What is the smaller root?