Respuesta :
The value of x is equal to -5/6
To solve this question, we have to add two polynomials together. The polynomials are;
- [tex]3x^2+3x+5[/tex]
- [tex]7x^2-9x=8[/tex]
Addition of Polynomials
This involves adding of two or more different polynomials together. The polynomials adding together are or must be of the same degree. i.e x^2 must add to another coefficient of x^2 and x^3 adds to another coefficient of x^3 and so on.
In this given question, let's add the polynomials together.
[tex](3x^2+3x+5) + (7x^2-9x = 8\)\\3x^2 + 7x^2 + 3x-9x+5-8 =10x^2-6x-3[/tex]
Now, let's equate this with the last polynomial given
[tex]10x^2-6x-3=10x^2-12x-13\\10x^2-10x^2-6x+12x-3+13\\0+12x+10\\12x=-10[/tex]
Let's solve for x
[tex]12x=-10\\x=-\frac{10}{12}\\x = -\frac{5}{6}[/tex]
The value of x is equal to -5/6
Learn more on addition of polynomials here;
https://brainly.com/question/4142886
