anonymous
  • anonymous
What are the solutions of x2 + 5x − 24 = 0? Show all work for full credit.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
do it by factorizing...
hartnn
  • hartnn
hint : split the middle term as 8x-3x
anonymous
  • anonymous
break 5x in two terms.

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More answers

anonymous
  • anonymous
8x-3x
anonymous
  • anonymous
would it be −b±/b^2 - 4ac ------------- 2a
hartnn
  • hartnn
thats using Quadratic formula...are u asked to use that ? if not factorizing will be better approach
anonymous
  • anonymous
ya its asking for quadratic formula
hartnn
  • hartnn
Compare your quadratic equation with \(ax^2+bx+c=0\) find a,b,c then the two roots of x are: \(\huge{x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}}\)
hartnn
  • hartnn
so, first tell me what u get for a,b,c.
anonymous
  • anonymous
a=x^2 b=5 c=24
hartnn
  • hartnn
no, 'a' is the co-efficient of x^2 here u have 1x^2 so a=.... ?
anonymous
  • anonymous
1^2
hartnn
  • hartnn
|dw:1356626845466:dw|
anonymous
  • anonymous
a=1 b=5 c=24
hartnn
  • hartnn
are u sure about the value of 'c' ?
anonymous
  • anonymous
-24
hartnn
  • hartnn
correct, now just plug in the values of a,b,c in that quadratic formula
anonymous
  • anonymous
−b±/b^2 - 4ac ------------- 2a -5 +/5^2 - 4 * 1 * 24 ------------------ 2 -5 +/ 25 - 96 ----------- 2
anonymous
  • anonymous
-5 -/5^2 - 4 * 1 * 24 ------------------ 2 -5 -/ 25 - 96 ----------- 2
hartnn
  • hartnn
remember that c=-24 so \(b^2-4ac = 25-4(1)(-24) = 25+96=...?\)
anonymous
  • anonymous
i cant believe i keep messing that up
hartnn
  • hartnn
everything else was correct.
anonymous
  • anonymous
121
hartnn
  • hartnn
yes, and \(\sqrt{121}=..?\)
anonymous
  • anonymous
11 SR
anonymous
  • anonymous
-5 + 11= 6 -- = 3 2
hartnn
  • hartnn
yes, and (-5-11)/2 =... ?
hartnn
  • hartnn
?
anonymous
  • anonymous
-8
hartnn
  • hartnn
thats correct, so 2 roots are 3 and -8.
anonymous
  • anonymous
ok thank u for all ur help
hartnn
  • hartnn
welcome ^_^

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