Math, asked by jyotipd10, 1 year ago

solve this question please (5x*x+2x+1=7)

Answers

Answered by rakeshmohata
1
Hope u like my process
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Formula to be used.::
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Sreedhar Acharya's formula for any such equation like ax² + bx + c =0, is

 =  > x =  \frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}
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Given::
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 =  >  \:  \: 5 {x}^{2}  + 2x + 1 = 7 \\  \\ or. \:  \: 5 {x}^{2}  + 2x + 1 - 7 = 0 \\  \\ or. \:  \: 5 {x}^{2}  + 2x - 6 = 0 \\  \\now \\  \\ applying \: sreedhar \: acharyas \:  \: formula \\  \\ either \\ .......... \\ x =  \frac{ - 2 +  \sqrt{ {2}^{2} - 4 \times 5 \times ( - 6) } }{2 \times 5}  \\  \\  \:  \:  \:  \:  =  \frac{ - 2  + \sqrt{4 + 120} }{10}   =  \frac{ -  2 +  \sqrt{124} }{10}  \\  \\  \:  \:  \:  \:  =  \frac{ - 2 + 11.135}{10}  =  \frac{9.135}{10}  = 0.9135 \\  \\ else \\ ........ \\ x =  \frac{ - 2 -  \sqrt{ {2}^{2} - 4 \times 5 \times ( - 6) } }{2 \times 5}  \\   \\  \:  \:  \:  \:  =  \frac{ - 2 -  \sqrt{124} }{10}  =  \frac{ - 2 - 11.135}{10}  \\   \\  \:  \:  \:  \:  =  \frac{ - 13.135}{10}  =  - 1.3135
So,..

=> x = - 1.3135,, or,, 9.135

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Hope this is ur required answer

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