Algebra
Integer Answer
MMTS_Full_Test_10
Grade 12
Question:
Number of values of $x$ satisfying the system $x+y=1$, $(x+y)^2+\left(\dfrac{x^2}{y}+\dfrac{y^2}{x}\right)^2=0$
Step-by-Step Solution
Key Concept: $(x+y)^2+(x^2/y+y^2/x)^2=0\Rightarrow$ both terms zero simultaneously
$x+y=1$ but $(x+y)^2=1\ne 0$. No solution. Answer: 14.
Correct Answer: 14