Question

[x+5]²=[x+6]+5, where[.] denotes the greatest integer function

Answer 1

${x}^{2} + 25 + 10x = x + 11$
${x}^{2} + 9x + 14 = 0$
by splitting the middle term.
${x}^{2} + 2x + 7x + 14 = 0$
$x(x + 2) + 7(x + 2)$
$(x + 2)(x + 7) = 0$
x=either -7or -2


don't forget to thank me also.

please mark it as brainlist if you like.