SOLUTION: 1.4m^2+10m-5=0 2.(y+3) (y-5) =2y-2 3.4m^2=(m+4) (2-m)... for all using completing the square method.... thank you..

Algebra ->  Equations -> SOLUTION: 1.4m^2+10m-5=0 2.(y+3) (y-5) =2y-2 3.4m^2=(m+4) (2-m)... for all using completing the square method.... thank you..       Log On


   

Question 1128504: 1.4m^2+10m-5=0
2.(y+3) (y-5) =2y-2
3.4m^2=(m+4) (2-m)... for all using completing the square method.... thank you..
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.
4m%5E2%2B10m-5=0
4%28m%5E2%2B%2810%2F4%29m%29-5=0
4%28m%5E2%2B%285%2F2%29m%2Bb%5E2%29-4b%5E2-5=0
4%28m%5E2%2B%285%2F2%29m%2Bb%5E2%29-4b%5E2-5=0
a=1, 2ab=5%2F2=>2%2A1%2Ab=5%2F2=>b=5%2F4
4%28m%5E2%2B%285%2F2%29m%2B%285%2F4%29%5E2%29-4%285%2F4%29%5E2-5=0
4%28m%2B5%2F4%29%5E2-4%2825%2F16%29-5=0
4%28m%2B5%2F4%29%5E2-25%2F4-5=0
4%28m%2B5%2F4%29%5E2-25%2F4-20%2F4=0
4%28m%2B5%2F4%29%5E2-45%2F4=0
4%28m%2B5%2F4%29%5E2=45%2F4
16%28m%2B5%2F4%29%5E2=45
%2816%2F45%29%28m%2B5%2F4%29%5E2=1


2.
%28y%2B3%29+%28y-5%29+=2y-2
+y%5E2-5y%2B3y-15+=2y-2
+y%5E2-5y%2B3y-15+-2y%2B2=0
+y%5E2-4y-13+=0
+%28y%5E2-4y%2Bb%5E2%29-b%5E2-13+=0
+%28y%5E2-4y%2B2%5E2%29-2%5E2-13+=0
+%28y-2%29%5E2-4-13+=0
+%28y-2%29%5E2+=17
+%281%2F17%29%28y-2%29%5E2+=1


3.

4m%5E2=%28m%2B4%29+%282-m%29
4m%5E2=2m-m%5E2%2B8-4m
4m%5E2=-m%5E2-2m%2B8
4m%5E2%2Bm%5E2%2B2m=8
5m%5E2%2B2m=8
5%28m%5E2%2B%282%2F5%29m%29=8
5%28m%5E2%2B%282%2F5%29m%2Bb%5E2%29-5b%5E2=8............2ab=2%2F5=>2b=2%2F5=>b=1%2F5
5%28m%5E2%2B%282%2F5%29m%2B%281%2F5%29%5E2%29-5%281%2F5%29%5E2=8
5%28m%2B1%2F5%29%5E2-5%281%2F25%29=8
5%28m%2B1%2F5%29%5E2-1%2F5=8
25%28m%2B1%2F5%29%5E2-1=40
25%28m%2B1%2F5%29%5E2=40%2B1
%2825%2F41%29%28m%2B1%2F5%29%5E2=1






Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
1.4m^2+10m-5=0
2.(y+3) (y-5) =2y-2
3.4m^2=(m+4) (2-m)... for all using completing the square method.... thank you.. 
1. matrix%281%2C3%2C+4m%5E2+%2B+10m+-+5%2C+%22=%22%2C+0%29
   matrix%281%2C3%2C+4m%5E2%2F4+%2B+%2810%2F4%29m+-+5%2F4%2C+%22=%22%2C+0%2F4%29 ----- Dividing by 4 to make LEADING COEFFICIENT, + 1.
   matrix%281%2C3%2C+m%5E2+%2B+%285%2F2%29m%2C+%22=%22%2C+5%2F4%29 ---------- Reducing fraction and ADDING 5%2F4
   ------ Taking 1%2F2 of "b," SQUARING it, and then ADDING the result to both sides
    
    matrix%281%2C3%2C+%28m+%2B+5%2F4%29%5E2%2C+%22=%22%2C+5%2F4+%2B+25%2F16%29
    matrix%281%2C3%2C+%28m+%2B+5%2F4%29%5E2%2C+%22=%22%2C+20%2F16+%2B+25%2F16%29
    matrix%281%2C3%2C+%28m+%2B+5%2F4%29%5E2%2C+%22=%22%2C+45%2F16%29
     ----- Taking square root of both sides
    matrix%281%2C3%2C+m+%2B+5%2F4%2C+%22=%22%2C+%22+%22%2B-+3sqrt%285%29%2F4%29
    

You can calculate that if you need APPROXIMATE solutions.
Now, you need to try the others on your own!