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Q.

Factor of $x^{2} + 100 = 20 x$ is?

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a

x = 40

b

x = 10

c

x = 20

d

x = 30

answer is B.

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Detailed Solution

x^{2} + 100 = 20 x

x^{2} + 100 = 20 x

- 20 x - 20 x

Take

20 x

away from both sides.

x^{2} - 20 x + 100 = 0

(x - 10) (x - 10) = 0

x - 10 = 0 x - 10 = 0

Set each variable to a value of

0

x - 10 = 0

+ 10 = + 10

Add

10

more on each side

x = 10

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