Question
I. 5x² - 24 x + 28 = 0   II. 4y² - 8 y -
12= 0Â Â Â In the following questions, two equations numbered I and II are given. You have to solve both the equations and give answer.Solution
I. 5x² - 24 x + 28 = 0    5x² - 14x - 10x + 28 = 0    x (5x – 14) – 2 (5x – 14 )  (x – 2 ) (5x – 14)  x = 14/5, 2  II. 4y² - 8y - 12 = 0   4y²- 12y + 4y - 12 = 0   4 (y – 3) + 4(y – 3 )  (y– 3) (4y + 4)  y = 3, -1  Hence, relationship between x and y cannot be established.  Alternate Method:  If signs of quadratic equation is -ve and +ve respectively then the roots of equation will be +ve and +ve.   So, roots of first equation = x = 14/5, 2  If signs of quadratic equation is -ve and -ve respectively then the roots of equation will be +ve and -ve. (note: -ve sign will come in smaller root)  So, roots of second equation = y = 3, -1  After comparing roots of quadratice eqution we can conclude that relation cannot be established between x and y.
Which organization will partner with JCB International Co to offer 40 percent cashback to RuPay JCB cardholders on in-store purchases?
Where was Asha Bhosle's biography 'Swarswamini Asha' released recently?
With reference to semi-conductors in India, consider the following statements:
1.   The Design Linked Incentive (DLI) Scheme aims to offer fi...
What is the Capital to Risk Weighted Assets Ratio (CRAR) of scheduled commercial banks (SCBs) as of end March 2024 according to the Financial Stability ...
Who was recently appointed as the Chairman of the Asian Cricket Council (ACC) during their virtual Annual General Meeting?
 What was India’s rank in ‘GLOBAL MILITARY EXPENDITURE’ in year 2022-23?
Recently, which Maharatna Central Public Sector Enterprise launched a SUGAM RECmobile application?
Where will the event "Semicon India 2023" take place from 28th to 30th July 2023?Â
Which aircraft carrier of the Indian Navy recently witnessed the maiden landing of the MH-60R helicopter?
The Shanghai Cooperation Organization (SCO), established for deeper political and economic cooperation, was formed in 2001 by the leaders of the member ...