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Decide Whether the Statement Is True or False kk Is a Positive Number, Then the Equation

Question 5

Multiple Choice

Decide whether the statement is true or false. If it is false, tell why.
-If kk is a positive number, then the equation x2=100k-x^{2}=-100 k has no real solutions.


A) True
B) False; the equation is equivalent to x2=100kx^{2}=100 k , where x2x^{2} and 100k100 k are positive, so it will have two real solutions
C) False; the equation is equivalent to x2=100kx^{2}=100 k , where x2x^{2} and 100k100 k are positive, so the equation will have one real number solution

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