GATE IN 2007 | Numerical Methods Question 4 | Engineering Mathematics

GATE IN 2007

MCQ (Single Correct Answer)

-0.3

Identity the Newton $$-$$ Raphson iteration scheme for the finding the square root of $$2$$

$${x_{n + 1}} = {1 \over 2}\left( {{x_n} + {2 \over {{x_n}}}} \right)$$

$${x_{n + 1}} = {1 \over 2}\left( {{x_n} - {2 \over {{x_n}}}} \right)$$

$${x_{n + 1}} = {2 \over {{x_n}}}$$

$${x_{n + 1}} = \sqrt {2 + {x_n}} $$

GATE IN 2007

MCQ (Single Correct Answer)

-0.3

The polynomial $$\,p\left( x \right) = {x^5} + x + 2\,\,$$ has

all real roots

$$3$$ real and $$2$$ complex roots

$$1$$ real and $$4$$ complex roots

all complex roots

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Engineering Mathematics