Answer:
[tex]c=22[/tex]
Step-by-step explanation:
Given equation:
[tex]x^2+c=103[/tex]
Solutions: -9 and 9
To solve for [tex]c[/tex]
Solution:
The solutions of the equation means [tex]x=-9[/tex] and [tex]x=9[/tex]
We will plugin the solutions in the equation and solve for [tex]c[/tex]
1) when [tex]x=-9[/tex]
[tex](-9)^2+c=103[/tex]
[tex]81+c=103[/tex]
Subtracting both sides by 81.
[tex]81+c-81=103-81[/tex]
∴ [tex]c=22[/tex]
2) when [tex]x=9[/tex]
[tex](9)^2+c=103[/tex]
[tex]81+c=103[/tex]
Subtracting both sides by 81.
[tex]81+c-81=103-81[/tex]
∴ [tex]c=22[/tex]
So, for both solutions we get [tex]c=22[/tex]
