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jayjay5246
30.11.2019 •
Mathematics
Solve the equation 2x3 + 7x2 – 10x – 24 = 0 in the real number system.
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Ответ:
x=2 ; x=-4 or x=-3/2
Step-by-step explanation:
We are given a cubic polynomial
Here as we are having a cubic equation to factorize, we have to find some value of x such that when we put that value in place of x , it gives us a 0. We have to try it randomly like first we try it for x=1 then x=2 and so on.
On trying for x=2 , we see that the equation becomes 0=0 and hence x=2 is one of the solution. And also as x=2 is one of the solution, (x-2) must be one of the factor. Now we use this property to determine the other factor like this.
Adding and subtracing
to
we get
Now we take out
as GCF
Now subtracting and adding
to ![11x^2](/tpl/images/0396/6246/a8e15.png)
taking
as GCF out
Now taking
out as GCF
Now we need to split the middle term of
to factorize it in such a way that their product is 2*12 and sum is 11. We have 8 and 3 as these factors.
Hence it can be factored like this
Hence our answer will be
And thus the solutions will be
x-2=0 : x=2
x+4=0 ; x=-4
2x+3=0 ; x=-![\frac{3}{2}](/tpl/images/0396/6246/dbf42.png)
Ответ:
x = 2
x = -4
x = -3/2
Step-by-step explanation:
We need to find the roots of the equation
2x^3 + 7x^2 – 10x – 24 = 0
We can factorize the equation into
(x-2)(x+4)(2x + 3) = 0
Roots
x = 2
x = -4
x = -3/2
The answer to your question is also attached in the images below
Ответ:
non linear. its not a straight line. it has curves and breaks.
Step-by-step explanation: