Posted by George on Monday, January 12, 2009 at 8:21pm.
FOIL is just distributive property of multiplication
(a+b)(c+d) = ac + ad + bc + bd
proof with distributive property:
(a+b)(c+d) = a(c+d) + b(c+d)
= ac + ad + bc + bd
[ăv(2x+2) - ăv(x-3)][ăv(2x+2) - ăv(x-3)] = 4
I do not understand your special symbols but perhaps they are radical signs?
If so then
[ sqrt(2x+2) - sqrt (x-3) ] [sqrt(2x+2) -sqrt (x-3) ] = 4
sqrt (a) sqrt (a) = a
so
(2x+2) - 2 sqrt (2x+2) sqrt(x-3) + (x-3) = 4
or
3 x -2 sqrt (2x+2) sqrt(x-3) = 5
or
(3 x -5)/2 = sqrt (2x^2 -4 x - 6)
square both sides
(9 x^2 -30 x +25)/4 = 2 x^2 -4 x - 6
or
9 x^2 - 30 x + 25 = 8 x^2 - 16 x - 24
or
x^2 -14 x + 49 = 0
(x-7)(x-7) = 0
x = 7
Thank you.
x- -1 when x=3
Related Questions
algebra - could someone please check these roblems for me and if they are not ...
Math PLEASE HELP ASAP - -PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT ...
Math - Could someone please help me with this math problem? This is what I have ...
Math: Please help - 1. What is the simplified form of squared root 140? A.) 4 to...
Algebra - Hello Reiny, please check these problems for me and if they are not ...
Math: Please check - Which radical expression is in simplified form? A.) 11y/3 ...
Math: Please check - Simplify: -11 square root 112 *A.) -44 square root 7 B.) -...
Algebra - I am a bit confused about conjugates in algebra. I am supposed to ...
Algebra (urgent!) - I am a bit confused about conjugates in algebra. I am ...
square roots - i know this problem is really easy but i am having a brain freeze...
For Further Reading
