ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



0 vote

In each of the questions a pair of equations is given. You have to find out the values of x and y and give answer.

Asked on by | Votes 0 | Views: 19 | Tags: sbi     | sbi po     | sbi po 2002     | algebra     | quantitative aptitude     | Add Bounty

In each of the questions a pair of equations is given. You have to find out the values of x and y and give answer.


I. $$4x^2 - 4x - 3 = 0$$ II. $$4y^2 + 12y +5 =0$$
1). if $$x < y$$
2). if $$x\leq y$$
3). if $$x = y$$
4). if $$x > y$$


Share on Facebook      Share on Whatsapp       Share on Twitter




2 answers

3 vote
Answered by on | Votes 3 |
Solution

I. $4x^2 - 4x - 3 = 0$

implies $4x^2 - 6x + 2x - 3 = 0$

(2x + 1) (2x-3) = 0

So, x = -1/2 or 3/2

II. $4y^2 + 12y +5 =0$

implies $4y^2 + 10y + 2y +5 =0$

(2y + 1) ( 2y + 5) = 0

y = -1/2 or -5/2

So,$ x \geq y$

Join Telegram Group




2 vote
Answered by on | Votes 2 |
Solution

I. $4x^2 - 4x - 3 = 0$

implies $4x^2 - 6x + 2x - 3 = 0$

(2x + 1) (2x-3) = 0

So, x = -1/2 or 3/2

II. $4y^2 + 12y +5 =0$

implies $4y^2 + 10y + 2y +5 =0$

(2y + 1) ( 2y + 5) = 0

y = -1/2 or -5/2

So,$ x \geq y$




Answer This Question

Name:
Email:
Answer :
Sum of (5+1)
Submit:

Other Questions

1. If 7x + 2 ≥ x - 2 and 7 + 2x ≥ 3 + 3x; then x can take which of the following values?

2. In the following questions, two equations numbered I and II are given. You have to solve both the equation and given answer I. 5x – 35/x = 18 II. 25y2 + 110y + 121 = 0

3. Direction∶ In the following question, two equations numbered I and II are given. You have to solve both the equation and given answer. I. x 2 = 169 II. y2 - 30y + 221 = 0    

4. Compare the values of the two quantities in the question and answer. Quantity 1: Solve for x: (49x2+ 84x + 36= 0) Quantity 2: Solve for y: (70y2 – 3y – 54 = 0) 

5. Ram went to a market and bought one copy of a Mathematics book and two pencils for Rs.65. Rahim went to the same market and bought another copy of the same book and ten pencils of the same brand for Rs.69. The price of each pencil was  

6. In the following question, two equations are given. You have to solve both the equations and find the relation between ‘x’ and ‘y’ and mark the correct answer. A. x2 + 12x + 35 = 0 B. y2 + 17y + 72 = 0

7. In the given question, two equations numbered l and II are given. You have to solve both the equations and mark the appropriate answer I. a2 - 25a - 186 = 0 II. b2 + 9b - 36 = 0

8. If \(\left( {a + b + c} \right) = 0,\) then \(\left( {\frac{{{a^2}}}{{bc}} + \frac{{{b^2}}}{{ca}} + \frac{{{c^2}}}{{ab}} + 1} \right)\)is

9. If $x+\frac{1}{9x}=4$ , then the value of $9x^{2}+\frac{1}{9x^{2}}$ is

10. If x4 + (1/x4) = 34, then what is the value of x3 – (1/x3)?