Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
For , prove that the expression cannot lie between and…
MATHEMATICS · Subjective · ISC · Mathematics · Algebra · Algebra
Problem
For
x
∈
R
x\in\mathbb{R}
x
∈
R
, prove that the expression
x
2
+
34
x
−
71
x
2
+
2
x
−
7
\dfrac{x^2+34x-71}{x^2+2x-7}
x
2
+
2
x
−
7
x
2
+
34
x
−
71
cannot lie between
5
5
5
and
9
9
9
.
Related theory
Algebraic Manipulation
Linear Inequalities
Functions
Inequalities
Quadratic and rational inequalities
Algebra
Browse the problem library