1
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
The polynomial $$\,p\left( x \right) = {x^5} + x + 2\,\,$$ has
A
all real roots
B
$$3$$ real and $$2$$ complex roots
C
$$1$$ real and $$4$$ complex roots
D
all complex roots
2
GATE IN 2007
MCQ (Single Correct Answer)
+1
-0.3
Identity the Newton $$-$$ Raphson iteration scheme for the finding the square root of $$2$$
A
$${x_{n + 1}} = {1 \over 2}\left( {{x_n} + {2 \over {{x_n}}}} \right)$$
B
$${x_{n + 1}} = {1 \over 2}\left( {{x_n} - {2 \over {{x_n}}}} \right)$$
C
$${x_{n + 1}} = {2 \over {{x_n}}}$$
D
$${x_{n + 1}} = \sqrt {2 + {x_n}} $$
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