Math, asked by alamnoman9p, 1 month ago

sqrt 2x² + 7x + 5sqrt2 = 0 ( quadratic equation) class 10​

Answers

Answered by diwanamrmznu
1

given

2x² + 7x + 5/sqrt{2} = 0

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solution=>

 =  \sqrt{2} x {}^{2}  + 7x + 5 \sqrt{2}  \\  \\  =  \sqrt{2}x {}^{2} + 2x + 5x + 5 \sqrt{2}    \\  \\  =  \sqrt{2}x(x +  \sqrt{2}  ) + 5(x +  \sqrt{2}) \\  \\  =  (\sqrt{2}x + 5)  (x +  \sqrt{2} ) \\  \\   =  > \sqrt{2} x + 5 = 0 \\  \\  = >  \sqrt{2} x =  - 5  \\  \\  =  > x =   \frac{ - 5}{ \sqrt{2} }  \\  \\and  \\  \\  =  > x +  \sqrt{2 }  = 0 \\  \\  =  > x =  -  \sqrt{2}

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