Theme: Rational Equations...

Solve for t (advanced rational equations) t² -7 + 12t⁻² = 0

Solve irrational equation \( \sqrt{x^2+x-2}+\sqrt{x^2-4x+3}=\sqrt{x^2-1}\)

Solve the rational equation 1/x+3/8=1/4

What is the solution to the rational equation x over 2x minus 1 minus 1 over 4 equals 2 over 2x minus 1? a. x=2 b. x= 7/2 c. x=3 d. x=7/6

with this rational equation. It’s supposed to = -1, but for some strange reason I keep getting x^2 +2x = -1. I don’t know if that’s the answer and I’m supposed to just listen to the "=-1" part or I’m just doing it completely wrong. Anyways, here’s the equation: 1) x/x-1 = 1/x+3

How could this Rational Equation be solved? The answer is supposed to be 4 times the negative or positive square root of 30, and I’ve tried it a bunch of times, but keep getting a similar, but slightly off answer. Maybe I’m using the wrong LCD? 3/x^2-4 + 1/2 = 4/x-2

What is the solution to the rational equation x over x squared minus 9 minus 1 over x minus 3 equals 1 over 4x minus 12?

Israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 square root of x plus 6 = x 4 (square root of x plus 6)2 = (x 4)2 x 6 = x2 8x 16 x 6 − 6 = x2 8x 16 − 6 x = x2 8x 10 x − x = x2 8x 10 − x 0 = x2 7x 10 0 = (x 2)(x 5) x 2 = 0 x 5 = 0 x 2 − 2 = 0 − 2 x 5 − 5 = 0 − 5 x = −2 x = −5 solutions = −2, −5 what error did israel make?

Classify the solutions of 3 over x plus 5, plus one fifth, equals 2 over x plus 5 as extraneous or non-extraneous.

What is the easiest way to solve rational expressions?

8/x-5 - 9/x-4 = 5/x^2-9x+20

Solve for x cubed (sqrt 2x+1)=3