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Question
The coefficient of x2 in x2 + 2x + 9 = `3x(x/2 - 1)` is ______.
Options
`1/2`
1
2
`3/2`
Solution
The coefficient of x2 in x2 + 2x + 9 = `3x(x/2 - 1)` is `underline(1/2)`.
Explanation:
The given equation is, x2 + 2x + 9 = `3x(x/2 - 1)`
⇒ x2 + 2x + 9 = `(3x^2)/2 - 3x`
⇒ `x^2 - (3x^2)/2 + 2x + 3x + 9` = 0
⇒ `- x^2/2 + 5x + 9` = 0
⇒ `x^2/2 - 5x - 9` = 0
On comparing the above equation with the standard quadratic equation ax2 + bx + c = 0, we get
a = `1/2` , b = – 5, c = – 9
Thus, the coefficient of x2 is `1/2`.
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