NCERT Class X Chapter 4: Quadratic Equation Exercise 4.1 Question 2 (ii)

NCERT Class X Chapter 4: Quadratic Equation Exercise 4.1 2 (ii)

Question:

Represent the following situations in the form of quadratic equations :The product of two consecutive positive integers is 306. We need to find the integers.

Given:

The product of two consecutive positive integers = 306.

To Find:

Quadratic equation representing the situation to find the integers.

Formula:

WKT, consecutive integers differ by 1.

Solution:

Let the first positive integer be 'x'.

Since the integers are consecutive,

the next positive integer will be 'x + 1'.
According to the given condition, their product is 306.

⇒ x × (x + 1) = 306

⇒ x2 + x = 306
Rearrange the equation into the standard quadratic form ax2 + bx + c = 0:

⇒ x2 + x - 306 = 0

Result:

The situation can be represented by the quadratic equation: x2 + x - 306 = 0.
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