MCQ
Solve 2x2 + x + 1 = 0.
- A$\frac{-1\pm\text{i}\sqrt{7}}{4}$
- B$\frac{1\pm\text{i}\sqrt{7}}{4}$
- C$\frac{1\pm\sqrt{7}}{4}$
- D$\frac{-1\pm\sqrt{7}}{4}$
Solution:
$2\text{x}^2+\text{x}+1=0$
$\text{D}=1^2-4\times2\times1=1-8=-7\leq0$
Since
$\text{D}\leq0,$ imaginary roots are there.$\Rightarrow\text{x}=\frac{-1\pm\sqrt{1^2-42.1}}{2.2}=\frac{-1\pm\text{i}\sqrt{7}}{4}$
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A box contains 6 nails and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is chosen at random, the probability that it is rusted or is a nail is: