Solve the following system of equations in real $a,\,b,\,c,\,d$:
$a+b=9$
$ab+c+d=29$
$ad+bc=39$
$cd=18$
Heuristic solution:
A collection of intriguing competition level problems for secondary school students.
Showing posts with label b. Show all posts
Showing posts with label b. Show all posts
Monday, August 10, 2015
Thursday, July 30, 2015
Analysis for Quiz 12: Brain Power Enrichment Quiz (I)
Analysis for Quiz 12: Brain Power Enrichment Quiz (I)
Question 1: If $a\gt b$ and $c\gt d$ are true, then we can say $a+c\gt b+d$ is always true.
A. Correct.
B. Incorrect.
Answer:
Yes, that is always correct, regardless if $a,\,b,\,c,\,d$ are negative or positive real number.
Take for example, we have:
Question 1: If $a\gt b$ and $c\gt d$ are true, then we can say $a+c\gt b+d$ is always true.
A. Correct.
B. Incorrect.
Answer:
Yes, that is always correct, regardless if $a,\,b,\,c,\,d$ are negative or positive real number.
Take for example, we have:
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