Math, asked by shivani4632, 3 months ago

solve the equation . please yrr​

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Answers

Answered by Pharas
3

Answer:

-11

Step-by-step explanation:

x'2-x'2-2x+2x+4=x+3/2

+4(2)=x+3

+8-3=x

x=+5

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Answered by MagicalBeast
7

QUESTION :

 \dfrac{ {x}^{2} \:  -  \: (x + 2)( \times  - 2) }{x  + 3}  =  \:  \dfrac{1}{2}

ANSWER : x = 5

Identity used : (a-b)(a+b) = a² - b²

Solution :

(x+2)(x-2) = x² - (2)² = x² - 4

 \sf \implies \:  \dfrac{ {x}^{2} \:  -  \: (x + 2)( x  - 2) }{x  + 3}  =  \dfrac{1}{2}  \\  \\  \sf \implies \:  \dfrac{ {x}^{2}  - \: ( {x}^{2} \:  - 4 \: ) }{x + 3}  \:  =  \:  \dfrac{1}{2}  \\  \\  \implies \sf \dfrac{ {x}^{2} \:  -  \:  {x}^{2}  \:   + 4}{x + 3}  \:  =  \dfrac{1}{2}  \\  \\  \implies \sf \dfrac{4}{x + 3}  =  \:  \dfrac{1}{2}

on cross multiplying, we get ;

=> 4×2 = 1×(x+3)

=> 8 = x + 3

=> x = 8 - 3

=> x = 5

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