Question

x + x^2 =6/25 find answer

Answer 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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Answer 2

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