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qwelly [4]
3 years ago
15

What number should be added to both sides of the equation to complete the square?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

9 should be added  to both sides of the equation to complete the square.

Step-by-step explanation:

Given : x^2 -6x = 5

To Find: What number should be added to both sides of the equation to complete the square?

Solution:

x^2 -6x = 5

Add the square of  half of coefficient of x

So, the square of  half of coefficient of x = (\frac{6}{2})^2=3^2 =9

So, x^2 -6x +9 = 5+9

x^2 -6x +3^2 = 5+9

x^2 -2 \times 3 \times x +3^2 = 5+9

(x-3)^2 = 5+9

(x-3)^2 =14

Thus 9 should be added  to both sides of the equation to complete the square.

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