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The Product of Two Consecutive Integers is 56. Find the Integers. - ICSE Class 10 - Mathematics

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Question

The product of two consecutive integers is 56. Find the integers.

Solution

Let the two consecutive integers be x and x + 1.
From the given information,
x(x + 1) = 56
x2 + x – 56 = 0
(x + 8) (x – 7) = 0
x = -8 or 7
Thus, the required integers are – 8 and -7; 7 and 8.

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APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 6: Solving (simple) Problems (Based on Quadratic Equations)
Ex.6A | Q: 1
Solution The Product of Two Consecutive Integers is 56. Find the Integers. Concept: Quadratic Equations.
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