Question

if X + Y is 25 and X into Y is 154 then what is the value of x minus y​

Answer 1

$\huge \red{\mathfrak{solution}}$

Given:

•x+y= 25

and

• xy=154

To find x-y

$\rightarrow \: ( {x - y})^{2} = ( {x + y)}^{2} - 4xy \\ \\ x - y = \sqrt{( {x + y})^{2} - 4xy}$

put the values :

$\rightarrow \: x - y = \sqrt{ {25}^{2} - 4(154)} \\ \\ \rightarrow \: x - y = \sqrt{625 - 616} \\ \\ \rightarrow \: x - y = \sqrt{9} \\ \\ \rightarrow x - y = 3$

Hence the value of x-y is

$\huge\blue{\boxed{ \mathfrak{3}}}$

Answer 2

$\huge{\text{\underline{Question:-}}}$

lf X + Y is 25 and X into Y is 154 then what is the value of x minus y.

$\huge{\text{\underline{Solution:-}}}$

★ Given:-

• x + y = 25
• xy = 154

★ To find:-

• Value of x - y

★ Explaination:-

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

★ Using formula:-

$\implies$x - y = $\sqrt{(x + y)^2 - 4 xy}$

$\implies$x - y = $\sqrt{(25)^2 - 4 (154)}$

$\implies$x - y = $\sqrt{625 - 616}$

$\implies$x - y = √9

$\implies\large{\boxed{\text{x - y = 3}}}$

Therefore the value of x - y is 3

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