What is the answer to |x^2+1|=2x ?

The answer to |x^2+1|=2x is x=1

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|x^2+1|=2x

x^{2} + 1 = 2 x

x = 1

Solution steps

x^{2} + 1 = 2 x

Find positive and negative intervals

- \infty < x < \infty

Solve the inequality for each interval

x = 1

5 r^{2} - 45 = 0

x^{2} - 36 > 0

- 4 (x + 3) = 16 - 4 x

5 + 6 x = 4 x + 1

2 x - \frac{x - 2}{4} = \frac{5 x}{8} + 5