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Find the number of solutions of the equation : 2 x + 3 x + 4 x - 5 x = 0

Grade:12

3 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
8 years ago
One solution of this equation is x=0
for x=1, 2+3+4>5
for x=2, 4+9+15>25
for x=3,8+27+64<625
imply there is one more solution between 2 and 3, hence total solution of this equation is 2.


sher mohammad
b.tech, iit delhi
faculty askiitians
Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
8 years ago
sorry, x=0 is not a answer
Athitya Kumar
39 Points
8 years ago
» Answer is given as one root.
 
» My doubt : Yes , there should be atleast a root between 2 and 3. I got that. But how do we confirm there is just one root and not any odd number of roots between 2 and 3?
In simple words , functional values at x=2 and x=3 are opposite , ie, any odd number of roots can be there right? Why only one root and not 3 or 5 roots???

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