ArataP401796 ArataP401796
  • 03-11-2022
  • Mathematics
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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 oss355 S 385 o sus S o stay S345 30 O S5375 535 2 0 375 5 385 2 class=

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JocilynN783204 JocilynN783204
  • 03-11-2022

Given the quadratic equation:

[tex]x^2+5x-5=0[/tex]

Using the general solution for quadratic equations:

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

From the problem, we identify:

[tex]\begin{gathered} a=1 \\ b=5 \\ c=-5 \end{gathered}[/tex]

Then:

[tex]x=\frac{-5\pm\sqrt{25+20}}{2}=\frac{-5\pm3\sqrt{5}}{2}[/tex]

And the solution set is:

[tex]\lbrack\frac{-5-3\sqrt{5}}{2},\frac{-5+3\sqrt{5}}{2}][/tex]

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