Math, asked by hasqasim1234, 9 months ago

if x-y=6 and xy=24 find x+y

Answers

Answered by Anonymous

Step-by-step explanation:

$\color{red}{ Given :}$

X - y = 6

xy = 24

$\color{Green}{Question :}$

X + y = ?

$\color{Grey}{Answer}$

x+ y = ?

According to the formula of x² + y²

= ( x - y ) ² + 2xy

= ( 6)² + 2 × 24

= 36 + 48

= 84 Answer

Than,

( x² + y²) = (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

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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if x-y=6 and xy=24 find x+y