SOLUTION: x2 + 4x = 23 complete the square root .

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Question 459729: x2 + 4x = 23
complete the square root .
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!



Solved by pluggable solver: Factoring Quadratics with a leading coefficient of 1 (a=1)
In order to factor , first we need to ask ourselves: What two numbers multiply to -23 and add to 4? Lets find out by listing all of the possible factors of -23


Factors:

1,23,

-1,-23,List the negative factors as well. This will allow us to find all possible combinations

These factors pair up to multiply to -23.

(-1)*(23)=-23

Now which of these pairs add to 4? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to 4

||
First Number|Second Number|Sum
1|-23|1+(-23)=-22
-1|23|(-1)+23=22
None of these factors add to 4. So this quadratic cannot be factored. In order to solve for x, we need to use the quadratic formula.

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