Question
Download Solution PDFRoots of the equation 2x2 - √5x - 2 = 0 are
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The roots of a quadratic equation ax2 + bx + c = 0 is given by:
\(\rm x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
Calculation:
Given quadratic equation:
\(\rm 2x^2-\sqrt5x-2 = 0\)
a = 2, b = \(-\sqrt5\) and c = -2
∴ \(\rm x = {-(-\sqrt5)\pm \sqrt{(-\sqrt5)^2- 4\times 2\times(-2)} \over 2\times2}\)
\(\rm x = {\sqrt5\pm \sqrt{5+16} \over 4}\)
\(\rm x = {\sqrt5+\sqrt{21} \over 4},{\sqrt5-\sqrt{21} \over 4}\)
∴ The roots of the equation are real and one positive and other negative
Last updated on May 31, 2025
-> The Indian Navy SSR Agniveeer Merit List will be released soon on the official website.
-> The Indian Navy Agniveer SSR CBT Exam was conducted from 25th to 26th May 2025.
->The application window was open from 29th March 2025 to 16th April 2025.
-> The Indian Navy SSR Agniveer Application Link is active on the official website of the Indian Navy.
.->Only unmarried males and females can apply for Indian Navy SSR Recruitment 2025.
-> The selection process includes a Computer Based Test, Written Exam, Physical Fitness Test (PFT), and Medical Examination.
->Candidates Qualified in 10+2 with Mathematics & Physics from a recognized Board with a minimum 50% marks in aggregate can apply for the vacancy.
-> With a salary of Rs. 30,000, it is a golden opportunity for defence job seekers.
-> Candidates must go through the Indian Navy SSR Agniveer Previous Year Papers and Agniveer Navy SSR mock tests to practice a variety of questions for the exam.