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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

If the ordered pairs (x2 – 3x, y2 + 4y) and (– 2, 5) are equal, then find x and y - Mathematics

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Question

If the ordered pairs (x2 – 3x, y2 + 4y) and (– 2, 5) are equal, then find x and y

Sum

Solution

(x2 – 3x, y2 + 4y) = (– 2, 5)

x2 – 3x = – 2

x2 – 3x + 2 = 0

(x – 2) (x – 1) = 0

x – 2 = 0 or x – 1 = 0

x = 2 or 1

y2 + 4y = 5

y2 + 4y – 5 = 0

(y + 5) (y – 1) = 0

y + 5 = 0 or y – 1 = 0

y = – 5 or y = 1

The value of x = 2, 1

and y = – 5, 1

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Ordered Pair
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Chapter 1: Relations and Functions - Unit Exercise – 1 [Page 33]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 1 Relations and Functions
Unit Exercise – 1 | Q 1 | Page 33
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