SOLUTION: I have tried these problems on completing the square and I really do not get them. The instructions say this only:
Complete the square. Do not solve for x
{{{x^2 +10x + __}}
Question 83144: I have tried these problems on completing the square and I really do not get them. The instructions say this only:
Complete the square. Do not solve for x
and
thank you! Found 2 solutions by Mona27, ankor@dixie-net.com:Answer by Mona27(45) (Show Source):
You can put this solution on YOUR website! To change a normal quadratic into the completed square form, first take half the coefficient of x (10) and place it in a bracket like this:
Expanding this expression gives:
Since we don't need the last term, we eliminate it by subtraction:
and finally you add whatever that last term (a) is:
This method applies to the second example even if the coefficient of x is not divisible by 2:
You can put this solution on YOUR website! Replaced the "?" with "__" to clear the syntax error
:
They want you to find the 3rd term, which will make it a perfect square:
:
To do this, take the coefficient of x (which is 10), take half of that (5) and
square it, gives us 25
The third term is 25
Check: (x+5)^2; if you FOIL (x+5)(x+5) you get
:
Follow the procedure as stated on the 1st problem:
half of -3 = -1.5; (-1.5)^2 =
Check: (x-1.5)^2; if you FOIL (x-1.5)(x-1.5) =
:
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