Answer:
The value of a+b is 1.
Step-by-step explanation:
The given equation is
\(x^2-1x-90=0\)
It is given that this equation has two solutions {a,b}.
First of all find the factors of given equation. The middle term can be written as -10x+9x.
\(x^2-10x+9x-90=0\)
\((x^2-10x)+(9x-90)=0\)
Taking out common from each parenthesis.
\(x(x-10)+9(x-10)=0\)
\((x-10)(x+9)=0\)
Using zero product property, we get
\(x-10=0\Rightarrow x=10\)
\(x+9=0\Rightarrow x=-9\)
The value of a is 10 and b is -9. The sum of both the solutions is
\(a+b=10-9=1\)
Therefore the value of a+b is 1.
