the equation $x^{2}-1x - 90 = 0$ has solutions {a, b}. what is a + b?\n-19\n-9\n1\n10

Explanation:

Step1: Recall Vieta's formulas

For a quadratic equation $ax^{2}+bx + c=0$ with roots $a$ and $b$, the sum of the roots $a + b=-\frac{b}{a}$.

Step2: Identify coefficients

In the equation $x^{2}-1x - 90=0$, we have $a = 1$, $b=-1$, $c=-90$.

Step3: Calculate the sum of the roots

Using the formula $a + b=-\frac{b}{a}$, substitute $a = 1$ and $b=-1$. Then $a + b=-\frac{-1}{1}=1$.

Answer:

C. 1