SOLUTION: can you help me solve (by method of your choice) __1___________ _ ___1__ + ___2_________ x2(squared)+3x+2 = x-1 x2(squared -1

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: can you help me solve (by method of your choice) __1___________ _ ___1__ + ___2_________ x2(squared)+3x+2 = x-1 x2(squared -1      Log On


   

Question 398254: can you help me solve (by method of your choice)
__1_____________ ___1__ + ___2_________
x2(squared)+3x+2 = x-1 x2(squared -1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%5E2%2B3x%2B2%29+=+1%2F%28x-1%29+%2B+2%2F%28x%5E2+-1%29

1%2F%28x%5E2%2B3x%2B2%29+=+1%2F%28x-1%29+%2B+2%2F%28x+-1%29%28x%2B1%29

1%2F%28x%5E2%2B3x%2B2%29+=+%281%28x%2B1%29%2B+2%29%2F%28x+-1%29%28x%2B1%29

1%2F%28%28x%5E2%2B2x%29+%2B%28x+%2B2%29%29+=+%28x%2B+3%29%2F%28x+-1%29%28x%2B1%29

1%2F%28x%28x%2B2%29+%2B%28x+%2B2%29%29+=+%28x%2B+3%29%2F%28x+-1%29%28x%2B1%29

1%2F%28%28x%2B2%29%28x+%2B1%29%29+=+%28x%2B+3%29%2F%28x+-1%29%28x%2B1%29

%28x+-1%29%28x%2B1%29+=+%28x%2B+3%29%28x%2B2%29%28x+%2B1%29

%28x+-1%29cross%28%28x%2B1%29%29+=+%28x%2B+3%29%28x%2B2%29cross%28%28x+%2B1%29%29

x+-1+=+%28x%2B+3%29%28x%2B2%29

x+-1+=+x%5E2+%2B2x+%2B+3x+%2B6%29

x+-1+=+x%5E2+%2B5x+%2B6%29
0+=+x%5E2+%2B5x+-x+%2B6+%2B1%29
x%5E2+%2B+4x+%2B7+=+0%29

usu quadratic formula to solve for x

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ...a=1, b=4 and c=7

x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A7+%29%29%2F%282%2A1%29+

x+=+%28-4+%2B-+sqrt%28+16-28+%29%29%2F2%29+
x+=+%28-4+%2B-+sqrt%28+-12+%29%29%2F2%29+

x+=+%28-4+%2B-+sqrt%28+-1%2A3%2A4+%29%29%2F2%29+

x+=+%28-4+%2B-+2i%28sqrt%28+3+%29%29%2F2%29+



x1+=+%28-4+%2B+2i%28sqrt%28+3+%29%29%2F2%29+

x2+=+%28-4+-+2i%28sqrt%28+3+%29%29%2F2%29+