If $x + y = 5$ and $x y = 6$ If $x > y$ then $x - y$ is equal to

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Solution

The correct option is B
1

Given $x + y = 5, x y = 6$

$(x + y) = 5$

Squaring both sides we get

$(x + y)^{2} = 5^{2}$

from binomial identities

$(x + y)^{2} - (x - y)^{2} = 4 x y$

$5^{2} - (x - y)^{2} = 4 \times 6$

$25 - 24 = (x - y)^{2}$

$(x - y) = \pm 1$

Since $x > y$

$x - y = 1$

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