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Question

y –5y = 3y – 7

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Solution

Given: y –5y = 3y – 7
On multiplying both sides by y, we get:
y2 – 5 = 3y2 – 7y
On transposing all the terms of the right-hand side to the left-hand side, we get:
y2 – 5 – 3y2 + 7y = 0
=> – 2y2 + 7y – 5 = 0
=> 2y2 – 7y + 5 = 0
Thus, the standard form of the given quadratic equation is 2y2 – 7y + 5 = 0.
On comparing this equation with ay2 + by + c = 0 in variable y, we get:
a = 2, b = –7 and c = 5

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