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42 votes
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

What is the solution set of x2 + 5x- 5 = 0? oss-355 S +385 o sus S* o {stay -S-345 , 30 O-example-1
User Saurabh Patil
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1 Answer

15 votes
15 votes

Given the quadratic equation:


x^2+5x-5=0

Using the general solution for quadratic equations:


ax^2+bx+c=0\Rightarrow x=(-b\pm√(b^2-4ac))/(2a)

From the problem, we identify:


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

Then:


x=(-5\pm√(25+20))/(2)=(-5\pm3√(5))/(2)

And the solution set is:


\lbrack(-5-3√(5))/(2),(-5+3√(5))/(2)]

User Kamlesh
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