Question

n If number of integral solution of]x2 – 8x + 12] < 6-x is n then value of 3 is​

Answer 1

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Class 12>>Applied Mathematics>>Quantification and Numerical Applications>>Numerical Inequalitites>>The number of positive integral solution

Question

The number of positive integral solutions x2+9<(x+3)2<8x+25, is

A

2

B

3

C

4

Your Answer

D

5

Correct Answer

Medium

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Solution

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Correct option is D)

x2+9<(x+3)2<8x+25⇒x2+9<(x+3)2<9⇒x2+9<x2+9+6x⇒6x>0⇒x>0

Also (x+3)2<8x+25

⇒x2−2x−16<0⇒1−17<x<1+17

But x>0

⇒0<x<1+17