SOLUTION: m^2 + 2m - 5 = 0. I appreciate your time on this matter thank you, Don..

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Question 223845: m^2 + 2m - 5 = 0. I appreciate your time on this matter thank you, Don..
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
m%5E2+%2B+2m+-+5+=+0

Use the quadratic formula given as x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ where a=1, b=2, and c=-5.

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation am%5E2%2Bbm%2Bc=0 (in our case 1m%5E2%2B2m%2B-5+=+0) has the following solutons:

m%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%282%29%5E2-4%2A1%2A-5=24.

Discriminant d=24 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-2%2B-sqrt%28+24+%29%29%2F2%5Ca.

m%5B1%5D+=+%28-%282%29%2Bsqrt%28+24+%29%29%2F2%5C1+=+1.44948974278318
m%5B2%5D+=+%28-%282%29-sqrt%28+24+%29%29%2F2%5C1+=+-3.44948974278318

Quadratic expression 1m%5E2%2B2m%2B-5 can be factored:
1m%5E2%2B2m%2B-5+=+1%28m-1.44948974278318%29%2A%28m--3.44948974278318%29
Again, the answer is: 1.44948974278318, -3.44948974278318. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B2%2Ax%2B-5+%29



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit
http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J