Question
x2-2x -1 = 0
The equation above has solutions 
, and 
, where n and k are positive integers. What is the value of n + k ?
The correct answer is: 3
a = 1
b = -2
c = -1
= 3
n + k = 3
Related Questions to study
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From 1990 to 2001, German currency included coins called pfennigs, worth 1 pfennig each, and groschen, worth 10 pfennigs each. Which equation represents the number of pfennig coins, p, and groschen coins, g, that have a combined value of 85 pfennigs?
Isolating a variable entails rearranging an algebraic equation so that one variable stands alone. A goal is to select a set of operations that will leave the variable of interest on one side of the equal sign while putting all other terms on the other.
¶To isolate a quantity in a formula or equation:
1. Make a note of the original equation. If necessary, convert the word problem or context into an equation.
2. Begin isolating the desired quantity by performing the operation on both sides of the equation.
3. Repeat Step 2 until you have isolated the desired quantity.
