Mathematics, 01.07.2021 14:00 mercymain1014
Find m to cos²x-(m²-3)sinx+2m²-3=0 have root
Answers: 3
would ensure that at least one real root exists for this equation when solving for 
. 
to replace the cosine this equation with sine:
.
to obtain:
.
.
, then this equation would become a quadratic equation about 
:
.
.
.
.
for all real 
(inclusive) for the original equation to have a real root when solving for 
.
would be:
.
.
for the original solution to have a real root when solved for 
, does not meet the requirements. On the other hand, simplifying 
, 
gives:
.
.
would give a real root if and only if 
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