x2 + 5x + 6¼ = (x + 2½)2 and, hence, is a perfect square.
As the co-efficient of x2 (the first term) is 1, you can safely follow this rule:
Add the square of half the co-efficient in the second term, in order to complete the square.
In this case, you take half of 5 (which is 2½) and, then, square it. This gives you your 6¼.
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What must be added to x²+5x to make a perfect square please help me to solve it and please show the working please I am begging you please 🙏 help me
62
5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.
4
-17
The idea is to take half the linear part (12, in this case), then square it. The constant part must be equal to this result.