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Which of the following are solutions to the equation below?
Check all that apply.
x2 - 10x + 25 = 17
O A. X= - 17 +5
I B. X= 17 +5
C. x= V8 +5
D. x= --8-5
E. x= -17-5
OF. x= 17-5

Respuesta :

Answer:

x = 5 ± [tex]\sqrt{17}[/tex]

Step-by-step explanation:

Given

x² - 10x + 25 = 17 ← left side is a perfect square, thus

(x - 5)² = 17 ( take the square root of both sides )

x - 5 = ± [tex]\sqrt{17}[/tex] ( add 5 to both sides )

x = 5 ± [tex]\sqrt{17}[/tex]

Thus

x = 5 - [tex]\sqrt{17}[/tex]

x = 5 + [tex]\sqrt{17}[/tex]

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