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

[tex]\(x^2 - 10x = 7\)[/tex]

[tex]\(\square\)[/tex]

Sagot :

GinnyAnswer
To complete the square for the equation [tex]\(x^2 - 10x = 7\)[/tex], follow these steps:

1. Identify the coefficient of [tex]\( x \)[/tex]: The coefficient of [tex]\( x \)[/tex] is [tex]\(-10\)[/tex].

2. Divide the coefficient of [tex]\( x \)[/tex] by 2:
This coefficient is [tex]\(-10\)[/tex]. When divided by 2, it gives [tex]\(-5\)[/tex].

3. Square the result from step 2:
Squaring [tex]\(-5\)[/tex] results in [tex]\( (-5)^2 = 25 \)[/tex].

Therefore, the number that should be added to both sides of the equation [tex]\(x^2 - 10x = 7\)[/tex] to complete the square is [tex]\(\boxed{25}\)[/tex].
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