SOLUTION: if x =m is one of the solution of equation 2x^2 + 5x - m = 0 the posssible valuee of M are

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Question 990811: if x =m is one of the solution of equation 2x^2 + 5x - m = 0 the posssible valuee of M are
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if x+=m is one of the solution of equation 2x%5E2++%2B+5x+-+m++=+0:
2m%5E2++%2B+5m+-+m++=+0
2m%5E2++%2B+4m++=+0
2m%28m++%2B+2%29++=+0
solutions:
if 2m=+0=>m=0
if %28m++%2B+2%29++=+0=>m=-2

so, the posssible valuee of m are:0 and -2

check:
=>m=0
2x%5E2++%2B+5x+-+0++=+0
2x%5E2++%2B+5x+=+0
x%282x++%2B+5%29+=+0
solutions:
highlight%28x=0%29=> which is highlight%28x=m%29 is one of the solution
2x%2B5=0=>x=-5%2F2

=>m=-2
2x%5E2++%2B+5x+-+%28-2%29++=+0
2x%5E2++%2B+5x%2B2+=+0
2x%5E2+%2Bx+%2B+4x%2B2+=+0
%282x%5E2+%2Bx+%29%2B+%284x%2B2%29+=+0
x%282x+%2B1+%29%2B+2%282x%2B1%29+=+0
%28x%2B2%29%282x%2B1%29+=+0
solutions:
x%2B2=0=>highlight%28x=-2%29 which is highlight%28x=m%29 is one of the solution
2x%2B1=0=>x=-1%2F2