Math, asked by hasqasim1234, 8 months ago

if x-y=6 and xy=24 find x+y​

Answers

Answered by Anonymous
15

Step-by-step explanation:

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X - y = 6

xy = 24

\color{</strong><strong>Green</strong><strong>}{</strong></p><p></p><p><strong>Question</strong><strong> </strong><strong>:</strong></p><p></p><p><strong>}

X + y = ?

\color{</strong><strong>Grey</strong><strong>}{</strong></p><p></p><p><strong>Answer</strong></p><p><strong>}

x+ y = ?

According to the formula of +

= ( x - y ) ² + 2xy

= ( 6)² + 2 × 24

= 36 + 48

= 84 Answer

Than,

( + ) = (x + y ) ² - 2xy

84 = ( x + y) ² - 2x 24

84 = ( x + y )² - 48

84+48 = ( x + y ) ²

132 = ( x + y ) ²

by doing root under both side,

132 = (x + y)²

11.48 = ( x + y )

Therefore,

x + y = 11.48 Final answer

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Answered by partapsinghjatt
0

Answer:

x-y=6

x=6+y

xy=24

(6+y) y=24

 {y}^{2}  + 6y = 24

 {y}^{2}  + 6y - 24 = 0

 {y}^{2}  + 6y - 4y - 24 = 0

y(y  + 6) - 4(y + 6)

(y - 4)(y + 6)

y = 4 \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  y =  - 6

______________________

we know the algebraic identity:

(x+y)² = (x-y)²+2xy

______________________

(x+y)²

= (x-y)²+2xy

( {x  + y)}^{2} =  ( {6)}^{2}  + 2 \times 24

( {x + y)}^{2}  = 36 + 48

( {x + y)}^{2}  = 84

x + y =  \sqrt{84}

hope it help

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