Question
Download Solution PDFIf (x2 - 3x + 5, y – 4) = (3,1), find the values of x and y.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The ordered pairs are equal, the corresponding elements are equal.
(a, b) = (c, d)
Then a = c and b = d
Calculation:
Given: (x2 - 3x + 5, y – 4) = (3,1)
The ordered pairs are equal, the corresponding elements are equal.
x2 - 3x + 5 = 3
⇒ x2 - 3x + 2 = 0
⇒ x2 - 2x - x + 2 = 0
⇒ x(x - 2) -1(x - 2) = 0
⇒ (x - 1)(x - 2) = 0
⇒ x = 1, 2
And y - 4 = 1
⇒ y = 5
Last updated on May 31, 2025
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