Mathegoras

Trigonometry › Trigonometric equations › Counting solutions

Unique solution with a parameter

High school · ●●●○○ 50 pts

Find all values of the parameter aa for which the equation ax2+sin⁡2x=a2−aa x^{2}+\sin ^{2} x=a^{2}-a has a unique solution. Give the value of aa.

Sign in to save your progress.

parameter problemseven functionssymmetry argument