How can we prove there are infinitely many



Answered question


How can we prove there are infinitely many solutions to 1x22x+3=y by only staying at Further maths at High School level? Will the graph ever go below the x-axis or will stay on it?

Answer & Explanation

Leonardo Mcpherson

Leonardo Mcpherson

Beginner2022-03-27Added 13 answers

Step 1
However, it always stay above the axis, which can be seen analytically from,
Thus, no solutions exist.


Beginner2022-03-28Added 16 answers

Step 1
The denominator
is positive so reciprocal can never intersect x-axis. So no real roots but complex conjugate roots with real part near 1.

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