**Solving Radical Equations GitHub Pages**

Sarah, You aren't looking for "the quadratic formula" here (that's the thing that starts "minus b plus or minus root b squared..."), you're looking for the equation of a quadratic with these roots.... Question 7117: Use the discriminant to determine how many real-number roots the equation has. Do not solve the equation. x^2-3x+5=0 That's what the worksheet says but I have no idea what a discriminant is or how to use it to determine how many real-number roots the equation has.

**SOLUTION What is an extraneous solutions?**

A square root equation is an equation that contains a variable under a square root sign. The fact that x · x = ( x ) 2 = x suggests that we can solve a square root equation by squaring both sides of the equation....2017-02-13 · symbol, so the problem is called a “radical equation.” To solve a radical equation, you have to eliminate the root by isolating it, squaring or cubing the equation…

**Solve. Check for extraneous solutions Wyzant Ask An Expert**

Sal explains what square-root equations are, and shows an example of solving such an equation and checking for extraneous solutions. If you're seeing this message, it means we're having trouble loading external resources on our website. how to write a good online profine Question 7117: Use the discriminant to determine how many real-number roots the equation has. Do not solve the equation. x^2-3x+5=0 That's what the worksheet says but I have no idea what a discriminant is or how to use it to determine how many real-number roots the equation has.. How to solve arctan equations

## How To Tell If An Equation Has A Extraneuos Root

### Solve. Check for extraneous solutions Wyzant Ask An Expert

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## How To Tell If An Equation Has A Extraneuos Root

### 2011-08-04 · Best Answer: An extraneous solution to a problem or equation is one that it introduced by the process of solving the problem, rather than being an essential element of the problem itself.

- A lot of times in algebra, especially when you deal with radical functions, you will end up with what you call extraneous solutions. These are solutions to an equation that you will get as a result of your algebra, but are still not correct.
- Extraneous solutions Suppose that x is the variable to be solved for in some equation. If we increase the degree of x in the equation (for example, by multiplying through by x − a, clearing the denominator, cross-multiplying, squaring both sides of the equation, etc.) then we run the risk of introducing extraneous solutions.
- $\begingroup$ In this case you can tell there is only one solution simply by thinking about the graphs of the functions on the left and right sides of your original equation. This tells you one of your roots is extraneous. It is also clear graphically that that solution is positive. So the extraneous root must be $-4$. Alternatively, recall that the range of the square root function is the set
- Don't forget to include a ± sign in your equation once you have taken the square root. Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use.

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