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klio [65]
2 years ago
6

What extraneous solution arises when the equation √8x + 1 = 3x is solved for x

Mathematics
1 answer:
ryzh [129]2 years ago
3 0

The solution to the system of equation is -1/9 and 1

<h3>Rational expressions</h3>

Given the following rational expression

√8x + 1 = 3x

Square both sides to have:

(√8x + 1)² = (3x)²

8x + 1 = 9x²

Equate to zero

9x² - 8x - 1 = 0

Factorize

9x² - 9x + x - 1 = 0

9x(x - 1) + 1(x - 1) = 0
9x + 1 =0 and x - 1 = 0

x = -1/9 and 1

Hence the solution to the system of equation is -1/9 and 1

Learn more on rational function here: brainly.com/question/1851758

#SPJ1

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