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nadezda [96]
2 years ago
13

Identify the solution set of the inequality, using the given replacement set.

Mathematics
2 answers:
Deffense [45]2 years ago
7 0
Thank you for posting your question here at brainly. Feel free to ask more questions.   
<span>
The best and most correct answer among the choices provided by the question is </span><span>C.{–10, –4.3}</span> .    
      <span>
Hope my answer would be a great help for you.  </span>
irga5000 [103]2 years ago
3 0
Hello there.

<span>Identify the solution set of the inequality, using the given replacement set.

x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}

</span><span>C.{–10, –4.3}</span>
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Solve 2x2 + 20x = −38. (1 point)
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Answer:

The solutions are x=-5+\sqrt{6}  and x=-5-\sqrt{6}


Step-by-step explanation:

we have

2x^{2} +20x=-38

Divide by 2 both sides

x^{2} +10x=-19 ------> x^{2} +10x+19=0

we know that


The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to


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in this problem we have


x^{2} +10x+19=0

so


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substitute

x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}


x=\frac{-10(+/-)\sqrt{100-76}}{2}


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x=\frac{-10(+/-)2\sqrt{6}}{2}


x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}


x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}


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