Solve quadratic equation xx+1+x+1x=2512 (x0 and x1).


Answer:

x=3, or x=4

Step by Step Explanation:
  1. On adding two fractions on LHS,
    x2+(x+1)2x(x+1)=2512x2+(x2+2x+1)x(x+1)=2512
  2. 12(2x2+2x+1)=25(x2+x)24x2+24x+12=25x2+25x25x2+25x24x224x12=0x2+x12=0x2+4x3x12=0x(x+4)3(x+4)=0(x3)(x+4)x=3 or 4
  3. Hence, x=3, or x=4.

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