Sqt(x+2) - sqt(x+3)= x+1

Question

solve Sqt(x+2) - sqt(x+3)= x+1

Answer 1

The expression is

Square on both sides.

Cancel the common terms on both side and then Subtract 5 on each side.

Square on both sides.

x = -2 and .

The roots of the polynomial are x = -0.6309, -1.52543 and 4.15633.

Solutions are x = -2, -0.6309, -1.52543 and 4.15633.

Check:

if x = -2 then

x = -2 is solution of .

If x = -0.6309 then .

x = -0.6309 is not the solution of .

If x = -1.52543 then .

x = -1.52543 is solution of .

If x = 4.15633 then .

x = -1.52543 is not the solution of .

Therefore the solutions of are x = -2 and -1.52543.