Question
I. 5x² + 17x + 6 = 0
II. 2y² + 11y + 12 = 0 In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer.Solution
I. 5x² + 17x + 6 = 0 5x² + 15x + 2x + 6 = 0 5x (x + 3) +2(x + 3) = 0 x = − 3, − 2/5 II. 2y² + 11y + 12 = 0 2y² + 8y + 3y + 12 = 0 2y (y + 4) + 3 (y + 4) = 0 y = − 4, − 3/2 Hence, no relation can be established between x and y. 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 = -3, -2/5 So, roots of second equation = y = -4, -3/2 After comparing roots of quadratic equation we can conclude that relation cannot be established between x and y.
The government will supply 35 million tonne (MT) of iron-fortified rice to the 800 million beneficiaries under the National Food Security Act (NFSA) by ...
Who is expected to be the Guest of Honour at the 10th Vibrant Gujarat Global Investors Summit?
What was the impact of the government's announcement of stake sale on GIC Re's stock price?
Consider the following statements regarding the "Global Conference on Cooperation in Enforcement Matters (GCCEM)".
I. The Directorate of Revenue ...
Mekong River passes through how many countries?
The International Hockey Federation (FIH) appointed P.R. Sreejesh and which other individual as co-chairs of the FIH Athletes Committee?
IFSCA has constituted an expert committee to formulate a roadmap to onshore the Indian innovation to GIFT IFSC in order to better understand the distinc...
India has recently achieved an “outstanding outcome” in the 2023-24 Mutual Evaluation Report by the Financial Action Task Force (FATF). According to...
What is the objective of the 'SAMARTH' Campaign launched by the Union Minister for Rural Development and Panchayati Raj?
In 2023, India marks the 75th anniversary of the diplomatic ties between India and Sweden. What is the theme for the 2023 India Sweden Innovation Day?