Question

What is the solution set of x2 + 5x- 5 = 0? oss-355 S +385 o sus S* o {stay -S-345 , 30 O S=5+375 5+3/5 2 0 --375 -5 +385 2

Answer 1

Given the quadratic equation:

$x^2+5x-5=0$

Using the general solution for quadratic equations:

$ax^2+bx+c=0\Rightarrow x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

From the problem, we identify:

$\begin{gathered} a=1 \\ b=5 \\ c=-5 \end{gathered}$

Then:

$x=\frac{-5\pm\sqrt{25+20}}{2}=\frac{-5\pm3\sqrt{5}}{2}$

And the solution set is:

$\lbrack\frac{-5-3\sqrt{5}}{2},\frac{-5+3\sqrt{5}}{2}]$