# Find the descriminant of x^2-7x+2=0 and describe the natural roots

Friday, July 23rd, 2010

### Solution:

- When you have an equation in the form of ax
^{2}+ =x + c = 0, the solution is x = where D = b^{2}– 4ac - D stands for discriminant, and values of x are the natural roots

- If D > 0, then the values of x are real and distinct.

- If D = 0, then the values of x are real and equal

- If D < 0, then the values of x are unreal

- In your question, x
^{2}– 7x + 2 = 0, so the values of a, b and c are as follows:

- a = 1

- b = -7

- c = 2

- D = b
^{2}– 4ac = 49 – 8 =**41****(this is the value of the discriminant)** - Since D > 0, then
**the values of x (the natural roots) are real and distinct**

Tags: 11th Grade, Algebra Homework, Homework Answers, Trignometry

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