Question on: JAMB Mathematics - 1990

At what value of x is the function x2 + x + 1 minimum?

A
1
B
\(\frac{3}{4}\)
C
\(\frac{5}{3}\)
D
9
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Correct Option: A

x + x + 1

(\frac{dy}{dx}) = 2x + 1

At the turning point, (\frac{dy}{dx}) = 0

2x + 1 = 0

x = -(\frac{1}{2})

(\frac{d^2y}{dx^2}) = 2 > 0(min Pt)

= (\frac{1}{4}) + (\frac{1}{2})

= 1

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