AP EAMCET201822 Apr 2018Morning ShiftMathematicsQuadratic EquationActual
The number of integral vaules of x satisfying 5 x-1 < (x+1)^2 < 7 x-3 is
Options
- A0
- B1
- C2
- D3
Correct answer
B. 1
Step-by-step solution
We have, 5 x-1 0 & (x-1)(x-2)>0 & x (- , 1) (2, ) & aligned Again, array r (x+1)^2 < 7 x-3 x^2+2 x+1 < 7 x-3 array aligned & x^2-5 x+4 < 0 & (x-1)(x-4) < 0 & x (1,4) & x=3 [ x is integer ] & aligned