SOLUTION: find the value of n.then check by adding - (5/8+1/8)+3/8=5/8+(1/8+n) n=

Algebra ->  Signed-numbers -> SOLUTION: find the value of n.then check by adding - (5/8+1/8)+3/8=5/8+(1/8+n) n=       Log On


   

Question 946105: find the value of n.then check by adding - (5/8+1/8)+3/8=5/8+(1/8+n) n=
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%285%2F8%2B1%2F8%29%2B3%2F8=5%2F8%2B%281%2F8%2Bn%29n=0

6%2F8%2B3%2F8=5%2F8%2B%281%2F8%2B8n%2F8%29n

9%2F8=5%2F8%2B%28%281%2B8n%29%2F8%29n

9%2F8-5%2F8=%28%281%2B8n%29%2F8%29n

4%2F8=%28%281%2B8n%29n%29%2F8

4%2F8=n%2F8%2B8n%5E2%2F8

4%2F8=n%2F8%2Bn%5E2

0=n%5E2%2Bn%2F8-4%2F8

n%5E2%2Bn%2F8-4%2F8=0 ...use quadratic formula

n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
n+=+%28-%281%2F8%29+%2B-+sqrt%28+%281%2F8%29%5E2-4%2A1%2A%28-4%2F8%29+%29%29%2F%282%2A1%29+
n+=+%28-%281%2F8%29%2B-+sqrt%28+%281%2F64%29%2B2%29%29%2F2+
n+=+%28-%281%2F8%29%2B-+sqrt%28+%281%2F64%29%2B128%2F64%29%29%2F2+

n+=+%28-%281%2F8%29%2B-+sqrt%28+129%2F64%29%29%29%2F2+

n+=+%28-%281%2F8%29%2B-sqrt%28129%29%2F8%29%2F2+

n+=+%28-1%2F16+%2B-+sqrt%28+129%29%2F16+%29

n+=+%281%2F16%29+%28-1%2B-+sqrt%28+129%29+%29
solutions:
n+=+%28-1%2F16+%2B+sqrt%28+129%29%2F16+%29 -> n+=+%281%2F16%29+%28-1%2Bsqrt%28+129%29+%29
or
n+=+%28-1%2F16+-+sqrt%28+129%29%2F16+%29-> n+=+%281%2F16%29+%28-1-+sqrt%28+129%29+%29


check:



9%2F8=5%2F8%2B%281%2F8-1%2F16+-sqrt%28+129%29%2F16+%29%28-1%2F16+%2B+sqrt%28+129%29%2F16+%29



9%2F8=5%2F8-%28-%281%2F16+-sqrt%28+129%29%2F16+%29%281%2F16+-+sqrt%28+129%29%2F16+%29%29

9%2F8=5%2F8-%28-%281%2F16+-sqrt%28+129%29%2F16+%29%5E2%29

9%2F8=5%2F8-%28-%280.0625+-0.7098635432250342%29%5E2%29

9%2F8=5%2F8-%28-%28-0.6473635432250342%29%5E2%29

1.125=0.625-%28-%280.4190795570968707%29%29

1.125=0.625%2B0.4190795570968707

1.125=1.0441 round it to whole number

1=1