answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar
More answers
User Avatar

Aduwu Victoria

Lvl 2
1y ago

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

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What number must be added to x2 plus 5x to complete the square?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What number must be added to the polynomial to complete the perfect square x2-24x?

144


What number must be added to the polynomial to complete the square x2-5x?

-3


What number must be added to the polynomial to complete the square x2 7x?

49/4 or 12.25


What number must be added to the polynomial to complete the square x2-9x?

-7


What number must be added to the polynomial to complete the square x2 - 20x?

Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.


What number must be added to complete the square of x SQUARED plus 12x equals -3?

9


What number must be added to x2 - 7x to complete the square?

9


What number must you add to complete the square x2 plus 12x equals 40?

You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.


What number can be added to complete the square x2 plus 10x equals 14?

9 needs to be added to complete the square. When squaring (x + n), the result is x2 + 2nx + n2. We have +10x, so n must be 10/2 = 5. Thus: (x + 5)2 = x2 +10x + 25 = x2 +10x + 14 + 9 So 9 needs to be added to complete the square, giving: x2 +10x + 14 = (x + 5)2 - 9


What number must you add to complete the square x2 plus 2x equals -1?

You must add 1


Find the least number which must be added to 4562 to make it a perfect square?

62


What least number must be added to 5607 to make the sum a perfect square find theperfect square of its square root?

5607 + 18 = 5625, a perfect square. The perfect square of a square root is the number you started with.