Try out this beautiful algebra problem number 2 from AMC 8 2019 based on the Fundamental Theorem of Algebra.
How many different real numbers " width="10" height="8"> satisfy the equation
Algebra
Value
Telescoping
Answer: is (D) 4
AMC 8, 2019, Problem 20
The given equation is
and that means
Among both cases, if
then,
and that means we have 2 different real numbers that satisfy the equation.
and if we take another case, then
and so,
and that means we have 2 different real numbers in this `case too that satisfy the equation. So total 2+2=4 real numbers that satisfy the equation.
Cheenta Numerates Program for AMC - AIME
Try out this beautiful algebra problem number 2 from AMC 8 2019 based on the Fundamental Theorem of Algebra.
How many different real numbers " width="10" height="8"> satisfy the equation
Algebra
Value
Telescoping
Answer: is (D) 4
AMC 8, 2019, Problem 20
The given equation is
and that means
Among both cases, if
then,
and that means we have 2 different real numbers that satisfy the equation.
and if we take another case, then
and so,
and that means we have 2 different real numbers in this `case too that satisfy the equation. So total 2+2=4 real numbers that satisfy the equation.
Cheenta Numerates Program for AMC - AIME