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