Answered

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to complete the square of ×2 + 10x, what number must be added to the expression? explain how you arrived at the answer?​

Sagot :

Yoshi0921idn

Answer:

if the equation is x² + 10x (___)

the answer will be x² + 10x + 25

Step-by-step explanation:

Reverse Method

Divide 10 by 2 = 5

This is because when multiplying using foil method or the short method or whatever method it is, bx is multiplied to the ax and then multiplied by two. If we move backwards then, we have to divide bx by ax then divide it by 2.

10x ÷ x = 10 ÷ 2 = 5

Then, square 5

5² = 25

This is because when multiplying this, for example (x+1)², we square x, multiply 1 by x then multiply it by 2, then square 1. Since we have the 5 already, we can conclude that the expression be (x+5)², so square x = x², multiple 5 by x, 5x, then multiply by 2, 10x, then square 5, 25

The expression will now be x² + 10x + 25

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