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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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 $x > y$

$x - y = 1$

Suggest Corrections

Similar questions

If 1 / X - 1 / Y is equals to 6 / 7 and x y is equals to 7 then x, y are

\frac{x + y}{x y} = 2

\frac{x - y}{x y} = 6

y =

If x+y=5 and xy=6, then find x^3+y^3

x^{y} = y^{x},

(\frac{x}{y})^{\frac{x}{y}}

\frac{x}{y} = \frac{6}{5}

\frac{x^{2} + y^{2}}{x^{2} - y^{2}}

Join BYJU'S Learning Program