Math, asked by KISHANkt1, 1 year ago

x + x^2 =6/25 find answer

Answers

Answered by amankumaraman11
1

x +  {x}^{2}  =  \frac{6}{25}  \\  \\ 25x +  {25x}^{2}  = 6 \\  \\  {25x}^{2}  + 25x - 6 = 0 \\  \\  {25x}^{2}  + (30 - 5)x - 6 = 0 \\  \\  {25x}^{2}  + 30x - 5x - 6 = 0 \\  \\  {25x}^{2}  - 5x + 30x - 6 = 0 \\  \\ 5x(5x - 1)+ 6(5x - 1) = 0 \\  \\ (5x - 1)(5x + 6) = 0
Now,

x =  \frac{1}{5}  \: or \:  \frac{ - 6}{5}




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KISHANkt1: wait for another answer @Amankumaraman11
amankumaraman11: ok
Answered by kbhavya124
0

Answer:


Step-by-step explanation:

x + x^2 =6/25

x +x^2 -6/25=0

25x + 25x^2 -6 =0

25x^2 + 25x -6 = 0

25x^2 +30x -5x -6 =0

5x(5x + 6) - 1(5x + 6) =0

(5x + 6)(5x - 1) = 0


5x +6= 0 or 5x-1=0

x=-6/5 or x=1/5

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