Posted by **Anonymous** on Tuesday, October 13, 2009 at 5:24pm.

Solve x^2 -3x is greater than or equal to 10

Would the solutions be x=5 and x= -2?

- Algebra -
**Reiny**, Tuesday, October 13, 2009 at 5:38pm
no, you forgot about the inequality condition.

You must have had

(x-5)(x+2) ≤ 0

here is a neat way to finish it

draw a line and mark the "critical values" of -2 and +5

this splits the line into 3 segments

1. x < -2

2. x between -2 and 5

3. x > 5

pick any x you want in each of the segments to test . You don't actually have to find the value just the +/- situation

1. let x = -10 , so (-)(-) > 0 , NO

2. let x = 0 , so (-)(+) < 0 YEs

3. let x = 10, then (+)(+) > 0, NO

so every value of x between -2 and 5 inclusive will work..

-2 ≤ x ≤ 5 , x any real number

## Answer this Question

## Related Questions

- Algebra--Correction? - Solve x^2 -3x is greater than or equal to 10 Would the ...
- Algebra 116 A - solve and graph 2x+9 greater or equal to 5 and 2x-13 greater or ...
- Intermediate Algebra - Find the maximum value of the objective function and the ...
- Algebra - Solve -3x-5 is greater than or equal to 16 Would the solution be x is ...
- College Algebra - How do you solve this to graph the system of inequalities? x+...
- MATH/ALGEBRA - I am going over some math homework and need to know if I am ...
- Algebra - Did I do this correctly? 13 - (2c + 2) >(pretend it has the line ...
- Algebra - Use a graphing calculator or a computer to graph the system of ...
- math - State the null hypothesis, Ho, and the alternative hypothesis, Ha, that ...
- College Algebra - How do you solve with a problem like this one? (I couldn't ...

More Related Questions