Asked by ant
What number is used to complete the square for the equation x^2 + 5x = 0?
a) 25
b) 6.25
c) 2.5
d) 10
d
a) 25
b) 6.25
c) 2.5
d) 10
d
Answers
Answered by
MathMate
(d) is not correct.
When we need to complete the square of an expression, we examine the coefficients of the x² and x terms.
To complete the square of a general quadratic equation
ax²+bx+c
we first rewrite it as:
a(x² + (b/a)x + c/a)
to make the coefficient of x² equal to 1.0 inside the parentheses.
After that, we regroup the terms as
a( (x+(b/2a))² + c/a - (b/2a)² )
Therefore the number to complete the square is b/2 if a=1.
Post if you need further explanations.
When we need to complete the square of an expression, we examine the coefficients of the x² and x terms.
To complete the square of a general quadratic equation
ax²+bx+c
we first rewrite it as:
a(x² + (b/a)x + c/a)
to make the coefficient of x² equal to 1.0 inside the parentheses.
After that, we regroup the terms as
a( (x+(b/2a))² + c/a - (b/2a)² )
Therefore the number to complete the square is b/2 if a=1.
Post if you need further explanations.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.