Answer:
x=-3.5, x=13.5
Step-by-step explanation:
-10x-47=-x^2+1
switch sides
-x^2+1=-10x-47
add 47 to both sides
-x^2+1+47=-10x-47+47
simplify
x^2+48=-10x
add 10x to both sides
-x^2+48+10x=-10x+10x
simplify
-x^2+10x+48=0
solve with the quadratic formula
a=-1, b=10, c=48:
x=-10±√10²-4(-1)48/ 2(-1)
(you can plug this into a calculator or use PEMDAS to solve)
(solve it twice: use - once, and + the second time)
answer:
x=-3.5, x=13.5
