Math, asked by ranshika, 1 year ago

factorise : 5√5x^2+30x+8√5 by middle term splitting

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Answered by amritstar
64

solution \\ 5 \sqrt{5}  {x}^{2}  + 30x + 8 \sqrt{5}  \\  = 5 \sqrt{5} {x}^{2}   + 20x + 10x + 8 \sqrt{5}  \\  = 5x( \sqrt{5} x + 4) + 2 \sqrt{5} ( \sqrt{5} x + 4) \\   = (5x + 2 \sqrt{5} )( \sqrt{5} x + 4) \\  = 5x + 2 \sqrt{5}  = 0 \: and \:  \sqrt{5} x + 4 = 0 \\  =  x  = \frac{ - 2}{ \sqrt{5} } \:  and \: x =  \frac{ - 4}{ \sqrt{5} }
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Answered by Prasiddhigupta
8

hope this helps

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