Processing Math: Done
Solution 2.3:1d
From Förberedande kurs i matematik 1
We apply the standard formula for completing the square,
x+2a
2−
2a
2
on our expression and this gives
x+25
2−
25
2=
x+25
2−425
The whole expression becomes
x+25
2−425+3=
x+25
2−425+412=
x+25
2+412−25=
x+25
2−413
A quick check shows that we have calculated correctly.
x+25
2−413=x2+2
25
x+
25
2−413=x2+5x+425−413=x2+5x+412=x2+5x+3