Question
What number should be added to both sides of the equation to complete the square?
x2 – 10x = 7
x2 – 10x = 7
Answers
Answered by
GPT 3.5
To complete the square, we need to add the square of half the coefficient of x to both sides of the equation.
In this case, the coefficient of x is -10. Half of -10 is -5, and the square of -5 is 25.
So, we need to add 25 to both sides of the equation to complete the square:
x^2 - 10x + 25 = 7 + 25
This simplifies to:
(x - 5)^2 = 32
Therefore, the number that should be added to both sides of the equation to complete the square is 25.
In this case, the coefficient of x is -10. Half of -10 is -5, and the square of -5 is 25.
So, we need to add 25 to both sides of the equation to complete the square:
x^2 - 10x + 25 = 7 + 25
This simplifies to:
(x - 5)^2 = 32
Therefore, the number that should be added to both sides of the equation to complete the square is 25.