SOLUTION: Find the rational numbers a and b given that a-2b + sqr(a+b) = sqr(6)/2 I really appreciate any help! Thanks!

Algebra.Com
Question 1023321: Find the rational numbers a and b given that
a-2b + sqr(a+b) = sqr(6)/2
I really appreciate any help! Thanks!

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
is an irrational number,
so must be irrational too.
Since and are rational,
must be rational.
Since is irrational, and
is rational,
must be irrational.
What we have in is
.
The only way that can be possible is
, which means
-->-->-->
-->-->

RELATED QUESTIONS

I need some help please: Solve the following equations: A) sqr(x+1)= 5- sqr(x-4) and B)... (answered by guapa)
Find the perimeter of a lot with sides measuring 5 sqr root 50, 3 sqr root 18, 3 sqr root (answered by jayanthihemkos@yahoo.com)
Which answers are equal to the expression SQR ROOT 4/36? A. SQR ROOT 1/9 B. 2/6 C. 9 (answered by Cromlix)
given that f(x)=x^2 and g(x)=sqr rt 5-x, find the following. a)f/g b)what is the domain (answered by MathLover1)
If the standard deviation of 3 numbers (a), (2a+1)and (2) is sqr(1/2), find the... (answered by jim_thompson5910)
please help me construct a quadratic equation with the solutions of sqr(3) and... (answered by solver91311)
suppose that a polynomial function of degree 5 with rational coefficients has 2, -SQR... (answered by josgarithmetic)
given traingle ABC with a=12 b=10 and c=8 find the angles in degrees and minutes. i would (answered by stanbon)
x^2/3-x-1/6 -b+-sqr rt of b^2-4ac/ 2a a=? b=-1 c=-1/6 I am stuck as to what "a"... (answered by Alan3354)