The number of integral solution of x+1 x^2+2 1 4 is

Step-by-step solution

aligned & We have, x+1 x^2+2 1 4 & x^2+2-4 x-4 0 x^2-4 x-2 0 & (x-2)^2-( 6 )^2 0 & & (x-2)- 6 ) (x-2+ 6 ) 0 & 2- 6 x 2+ 6 & 2-2.449 x 2+2.449 & -0.449 x 4.449 aligned In between -0.445 and 4.449 five values of x lies, i.e. 0,1,2,3,4 . There are 5 integral solution of inequality.