Answer:
The value of a+b is 1.
Step-by-step explanation:
The given equation is
\(x^2-1x-90=0\)
The middle term can be written as -10x+9x.
\(x^2-10x+9x-90=0\)
\(x(x-10)+9(x-10)=0\)
\((x-10)(x+9)=0\)
Using zero product property, equate each factor equal to 0.
\(x-10=0\Rightarrow x=10\)
\(x+9=0\Rightarrow x=-9\)
The solutions of the given equation are {-9,10}.
\(\{a,b\}=\{-9,10\}\)
\(a+b=-9+10=1\)
Therefore the value of a+b is 1.
