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denis23 [38]
2 years ago
15

The problem is in the picture ​

Mathematics
1 answer:
Charra [1.4K]2 years ago
4 0

Answer:

x = 3 or 7

Step-by-step explanation:

Solve by completing the square:

x^2 - 10x + 1 = -20

First, move the constants to one side:

x^2 - 10x = -21

Then, add (\frac{-10}{2})^2 to both sides to make the right a perfect square trinomial, which is easy to factor:

x^2 - 10x + (\frac{-10}{2})^2 = -21 + (\frac{-10}{2})^2

Simplify and Factor:

x^2 - 10x + 25 = -21 + 25

(x - 5)^2 = 4

Finally, square root both sides using the even roots property:

\sqrt{(x - 5)^2} = \sqrt{4}

x - 5 = ± 2

x = 5 ± 2

x = 3   or   x = 7

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