Question
Download Solution PDFFor what value of 'a', does the inequality 9a - a2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Given: 9a - a2
On rearranging
-a2 + 9a
Shifting the sign
a2 - 9a
a2 - 9a + 17a + 15
a2 + 8a + 15
a2 + 5a + 3a + 15
a(a+ 5) + 3(a + 5)
(a + 3)(a + 5)
So, -3 and -5 are the roots of the equation.
Now look at the diagram given below,
We see that all the numbers less than -5 and all the numbers greater than -3 will give us positive result. While numbers between -5 and -3 will give us negative results
So, all the above value holds for the above equation.
Last updated on Jun 26, 2025
-> The UPSC CDS Exam Date 2025 has been released which will be conducted on 14th September 2025.
-> Candidates had applied online till 20th June 2025.
-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.
-> Attempt UPSC CDS Free Mock Test to boost your score.
-> Refer to the CDS Previous Year Papers to enhance your preparation.