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Sum and Product of roots



The sum of roots ( x1 + x2 ) and product of roots ( x1x2 ) are questions that may pop out when we talk about quadratic equation. These question are relatively easy to answer since the values can be derived by simple division between the constant of the quadratic equation.


All you have to do is to check any check boxes with captions x1 + x2 and x1x2 ( see the picture above ). Then click as HTML to tell Orimath Quadratic Solver to solve the problem for you and tell you the steps required to get the answer.





Answer by Orimath Quadratic Solver :
Question Number 1 :
For this equation x2 + 5x + 4 = 0 , answer the following questions :
A.
Calculate the value of x1 + x2 !
B.
Calculate the value of x1x2 !

Answer Number 1 :
The equation x2 + 5x + 4 = 0 is already in ax2+bx+c=0 form.
As the value is already arranged in ax2+bx+c=0 form, we get the value of a = 1, b = 5, c = 4.

Use the formula, x1 + x2 =
-b
a
to get the answers.
Since the value of a = 1 and b = 5,
we only have to subtitute those values into x1 + x2 =
-b
a
.
So we get x1 + x2 =
-(5)
1
Which produce x1 + x2 =
-5
1
We get following answers x1 + x2 = -5
The formula x1 x2 =
c
a
is useful to solve this problem.
Since we know from the problem that a = 1 and c = 4,
we only have to subtitute those values into x1x2 =
c
a
.
So we come with x1x2 =
4
1
So we got the answers as x1x2 = 4




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