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Find the limit of $\frac{4x}{4x+\sqrt{16x^2+x}}$ as $x$ approaches 0

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Algebra 2 - Determine and describe the discriminant 5x^2 - x -1 = 0

https://www.youtube.com/watch?v=F3eTBxCnzvI

Tutorial - Solving a rational Equation ex10, x/(x^2-2) = -1/x

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Limit of (sin x)/x as x approaches 0

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Algebra 2 - Learn to describe and solve for the zeros using completing the square 4x^2 - 4x - 1 = 0

https://www.youtube.com/watch?v=0lpMs0iXm2E

Algebra 2 - solving a rational equation by multiplying by the LCD (x/2) ‐ ((2x‐3)/5) = 1

https://www.youtube.com/watch?v=5VjEh8m5zfM

Calculus - Solving Rational Equations, ((4x + 1)/4) - ((2x + 3)/3) = 7/12

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Function Plot

Plotting: $\frac{4x}{4x+\sqrt{16x^2+x}}$

Main Topic: Rational Equations

Rational or fractional equations are those equations that contain algebraic fractions, and where the variable or unknown appears in the denominator of at least one of those fractions.

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