Answer:
\(x= \frac{3+-\sqrt{29}}{2}\)
Step-by-step explanation:
x^2 - 3 x -5=0
To solve for x we apply quadratic formula
\(x= \frac{-b+-\sqrt{b^2-4ac}}{2a}\)
From the given equation
a=1 , b=-3 and c=-5
Plug in all the values in the formula
\(x= \frac{3+-\sqrt{(-3)^2-4(1)(-5)}}{2(1)}\)
\(x= \frac{3+-\sqrt{29}}{2}\)
We cannot simplify square root (29)
So we keep as it is
\(x= \frac{3+-\sqrt{29}}{2}\)