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Solve the equation and check your answers. $$\frac{x}{x-1}+\frac{x+2}{x}=3$$
So in the given question we are told to find the solution operation and equation that has given us one by x minus one plus all by express to as equal to three by X. First let's cross multiply in the left hand side of the situation and we have X plus two plus or x minus cold, divided by x minus one times X plus two is x squared plus x minus two. And this is equal to three by X. So now we can simplify the numerator and it would be five x minus two divided by x squared plus x minus two equals three by X. When we cross multiply again over here, what we would have us five x squared minus two, X is equal to three, X squared plus three, X minus six. And from this weekend right to explain minus five weeks plus six is equal to zero. And the rules of the situation would be the solutions of the given uh given rational equation. So let's check what kind of rules the justice coordinated equation have. First by taking the square minus four, receive where B. Is the coefficient of X. Of the quadratic polynomial. For a. S. The coefficient of x squared and C. Is the constant in the equation which gives us the value is 25 minus 64 times two is 88 times six is 48. So we get B squared minus four A. C. As zero. And if the square minus four A C. Is less than zero, what it means is the roots are not roads are not real, which means the given equation does not have a real solution. So we can write the given the given nationally equation that's not does not have a million solution. So this is the required answer. I hope you understood the matter. Thank you.
In this question, we have to solve the given expression. One divide with two plus to divide with X is equals to one. Divide with three glass. Three d, right with X taking The writing site owns two Left Inside, we will get one divide with two plus two divided with X minus off one. Divide of it three and minus off. Three. Divide with X No taking the least common denominator they will get today My deployed with two multiplied of it ex will give you six x Monday Blank six x Do both the sites we will get six x multiplied with one by two plus Dubai Ex miners one divided by three minus three divided with X and this will be equals 20 not further solving each comes. We will get three X bless well minus two X minus 18 is equals to zero. Solving the like terms we will get eggs is equals to 18 minus 12. Okay, so x will be equals 26
No, we have to solve In a question, it says that one by two plus two backs equal to one metric less Trevor X. It is like wanna buy to lets to buy x good one by three Industry by X Solve this question So if v take Dubai X here and three of our X Well, I will goto negative side. Nothing I left inside. It will be minus Deal. What x and one by three. And take this toward the US Right inside will be minus one by two. Well, we will be having l City off X and X is X. It would be to minus three here. L city off three and two is definitely six and 32 times six. So wait to hear. And three here. Which means it will be minus one over X equal toe minus 1/6. So let us just we can cross, multiply or weaken. Just inverse these two issues. These two factions, it will be minus X equal toe minor six. So if we multiply both said by minus one, we will be getting minus one into mind. Sex equal toe minus six in two minus one, which means X equal to six. So this is the solution. Thank you.
So in this equation we need to solve for X multiplying across you get X times two X minus one is equal to six. Keep multiplying. You get two X squared minus X is equal to six and subtracting six from both sides. You get two X squared minus X minus six equal to zero two times and negative six is negative. 12. Two numbers that will multiply the equal Negative 12 but add to equal negative one are negative for and positive three. So we're going to rewrite that equation as two X squared minus for X plus three x minus six is equal to zero and create your groups now pulling out the common term between the two. Pull out of two X you get X minus two. Pull out a three and you get X minus two. That's equal to zero. So factored form is two X plus three times X minus two. Now solving for X two x minus three is equal to zero. X is equal to negative. Three over two X minus two is equal to zero. X equals two. So these are the two answers we can get