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.
What number should be added to both sides of the equation to complete the square?
x2 – 10x = 7
1 answer
1 answer