Question
In the question, two equations I and II are given. You
have to solve both the equations to establish the correct relation between x and y and choose the correct option. I. x² + 7x = 60 II. y² + 19y + 84 = 0Solution
ATQ,
From I:
x² + 7x = 60
x² + 7x – 60 = 0
x² + 12x – 5x – 60 = 0
x(x + 12) – 5(x + 12) = 0
(x + 12)(x – 5) = 0
x = -12, 5
From II:
y² + 19y + 84 = 0
y² + 12y + 7y + 84 = 0
y(y + 12) + 7(y + 12) = 0
(y + 12)(y + 7) = 0
y = –12, -7
So, no relation can be established between x and y.
If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (p² + q² + r²).
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...
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