SOLUTION: {{{square root of k+2 - square root of k-3 =1}}}

Algebra.Com
Question 114646This question is from textbook introductory and intermediate algebra
: This question is from textbook introductory and intermediate algebra

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
square root of k+2 - square root of k-3 =1
sqrt(k+2) = sqrt(k-3) + 1
Square both sides to get:
k+2 = (k-3)+2sqrt(k-3)+1
4 = 2sqrt(k-3)
sqrt(k-3) = 2
Square both sides:
k-3 = 4
k = 7
------------
Checking in the original equation:
sqrt(9) - sqrt(4) = 1
3-2 = 1
=============
Cheers,
Stan H.

RELATED QUESTIONS

Square root of 6 * square root of 5 * square root of 4 * square root of 3 * square root... (answered by rothauserc)
Find the missing root and solve for k: 2x^2... (answered by ankor@dixie-net.com,josmiceli)
Find the square roots of 4 times the square root of 3 +4i. Ex: k=0 and... (answered by Edwin McCravy)
make K the subject of the formula [square root of... (answered by ankor@dixie-net.com)
f(x) = x^3 + (1 - k^2)x + k (a) Show that -k is a root of f. I've already solved this (answered by jsmallt9)
my question say's that the square root of 12 minus the square root of 3 equals k... (answered by jim_thompson5910)
1.square root of 20 + square root of 80 2. square root of 12 - 2 square root of 3 3.... (answered by checkley71)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Write and equation that expresses the... (answered by Alan3354)
I really need help to solve the following -k(-2-3) - (-2)(-k-5) = -2-(-2k+4) + 3 times (answered by ankor@dixie-net.com)