SOLUTION: Use the quadratic formula to solve Use the quadratic formula to solve a) 2√(5m^2)+3m-4√5=0 Can you please help me out? Thanks so much in advance:) Can you please

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Use the quadratic formula to solve Use the quadratic formula to solve a) 2√(5m^2)+3m-4√5=0 Can you please help me out? Thanks so much in advance:) Can you please      Log On


   

Question 872550: Use the quadratic formula to solve
Use the quadratic formula to solve
a) 2√(5m^2)+3m-4√5=0
Can you please help me out? Thanks so much in advance:)
Can you please help me out? Thanks so much in advance:)po
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Requires squaring both sides twice, but not all at once.

2sqrt%285m%5E2%29%2B3m=4sqrt%285%29
4%2A5m%5E2%2B2%2A2%2A3%2Am%2Asqrt%285m%5E2%29%2B9m%5E2=16%2A5
20m%5E2%2B12m%2Asqrt%285m%5E2%29=-9m%5E2%2B80
12m%2Asqrt%285m%5E2%29=-20m%5E2-9m%5E2%2B80
12m%2Asqrt%285m%5E2%29=80-29m%5E2
Another Squaring...
144m%5E2%2A5m%5E2=6400-2%2A80%2A29m%5E2%2B29%5E2%2Am%5E4
720m%5E4=6400-4640m%5E2%2B841m%5E4
highlight_green%28121m%5E4-4640m%5E2%2B6400=0%29-----This is in quadratic form, so first solve for m^2 and then continue on to m. .

Discriminant? 4640%5E2-4%2A121%2A6400=21529600-3097600=18432000

sqrt%28D%29=3%2A4%5E3%2A10sqrt%2810%29=1920sqrt%2810%29

Quadratic Formula Solution gives:
highlight%28m%5E2=%284640%2B-+1920sqrt%2810%29%29%2F%282%2A121%29%29
This is still unfinished, needing the two solutions for m, from this one for m^2.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Use the quadratic formula to solve
Use the quadratic formula to solve
a) 2√(5m^2)+3m-4√5=0
Can you please help me out? Thanks so much in advance:)
Can you please help me out? Thanks so much in advance:)po


If 2sqrt%285m%5E2%29+%2B+3m+-+4sqrt%285%29+=+0, then: highlight_green%28m+=+1.197%29

You can do the check!! 



If you need a complete and detailed solution, let me know!!



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