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Which of the following are solutions to the equation below? Check all that apply. x2 + 10x + 25 = 2

User Alcohol
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1 Answer

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Answer:

-5+√2 and -5-√2

Explanation:

With the quadratic formula:


\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=(-10\pm√(10^2-4(1)(23)))/(2(1))=(-10\pm√(100-92))/(2)=(-10\pm√(8))/(2)=(-10\pm2√(2))/(2)=-5\pm√(2)

We can also complete the square (which is faster):


x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm√(2)\\x=-5\pm√(2)

User BVa
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