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ki77a [65]
3 years ago
8

Which of the following are solutions to the equation below?

Mathematics
2 answers:
Andru [333]3 years ago
7 0

Answer:

\large\boxed{\sf  \ \ x = 3+\sqrt{11} \ \  or \ \ x = 3-\sqrt{11} \ \ }

Step-by-step explanation:

Hello,

   x^2-6x+9=11\\ x^2-2*3*x+3^2=11\\(x-3)^2=11\\ x-3=\sqrt{11} \ or \ x-3=-\sqrt{11}\\ x = 3+\sqrt{11} \ or \ x = 3-\sqrt{11}

Do not hesitate if you have any question

Hope this helps

barxatty [35]3 years ago
5 0

Answer:

x = 3 ± sqrt(11)

Step-by-step explanation:

x^2 - 6x + 9 = 11

Recognizing  that this is a perfect square trinomial

(x-3) ^2 =11

Taking the square root of each side

sqrt((x-3) ^2) = ± sqrt(11)

x-3 =± sqrt(11)

Add 3 to each side

x = 3 ± sqrt(11)

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