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Vinvika [58]
3 years ago
5

Solve the equation by completing the square. Round to the nearest hundredth if necessary x^2+3x=25

Mathematics
2 answers:
Citrus2011 [14]3 years ago
7 0

Answer:

The solutions are:  x= 3.72, -6.72

Step-by-step explanation:

x^2+ 3x = 25\\ \\ x^2+3x+(\frac{3}{2})^2 = 25 +(\frac{3}{2})^2\\ \\ (x+\frac{3}{2})^2 = 25+\frac{9}{4}\\ \\ (x+\frac{3}{2})^2 =27.25\\ \\ \sqrt{(x+\frac{3}{2})^2} =\pm \sqrt{27.25} \\ \\ x+1.5= \pm \sqrt{27.25} \\ \\ x= -1.5 \pm \sqrt{27.25}\\ \\ x=-1.5+ \sqrt{27.25}=3.72015... \approx 3.72\\ \\ or\\ \\ x=-1.5-\sqrt{27.25} =-6.72015...\approx -6.72

So, the solutions are:  x= 3.72, -6.72

Lilit [14]3 years ago
6 0
X=-3/2 plus or minus to the square root 109/2
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