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Find all values of for which for all real .
MATHEMATICS · Subjective · ISC · Mathematics · Algebra · Algebra
Problem
Find all values of
m
m
m
for which
(
2
m
−
3
)
x
2
+
2
m
x
+
4
<
0
(2m-3)x^2+2mx+4<0
(
2
m
−
3
)
x
2
+
2
m
x
+
4
<
0
for all real
x
x
x
.
Related theory
Nature of Roots
Quadratic Equations
Linear Inequalities
Algebra
Functions
Inequalities
Quadratic and rational inequalities
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