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5 Important Quadratic Equations Questions for IBPS PO

Published on Wednesday, August 17, 2016
equations

In each of these questions’ two equations are given. You have to solve these equations and give answer

Ques 1. 

I. x² − 6x = 7
II. 2y² + 13y + 15 = 0 

a. if x < y
b. if x > y
c. if x = y or relation cannot be established
d. if x ≥ y
e. if x ≤ y

Ques 2. 

I. 3x² − 7x + 2 = 0 II. 2y² − 11x + 15 = 0 
a. if x < y
b. if x > y
c. if x = y or relation cannot be established
d. if x ≥ y
e. if x ≤ y

Ques 3. 

I. 10X² − 7x + 1 = 0 II. 35y² − 12y + 1 = 0 
a. if x < y
b. if x > y
c. if x = y or relation cannot be established
d. if x ≥ y
e. if x ≤ y

Ques 4.

I. 4x² = 25 II. 2y² − 13y + 21 = 0 
a. if x < y
b. if x > y
c. if x = y or relation cannot be established
d. if x ≥ y
e. if x ≤ y

Ques 5.

I. 3x² + 7x = 6 II. 6(2y² + 1) = 17y 
a. if x < y
b. if x > y
c. if x = y or relation cannot be established
d. if x ≥ y
e. if x ≤ y

ANSWERS:

1. b
2. a
3. d
4. a
5. c

Explanation and solution:

1. x² − 6x = 7
x(x-7)+(x-7)=0
→ x=7,-1
2y² + 13y + 15 = 0
2y(y+5)+3(y+5)=0
→y=-5, -3/2
If x=7,y=-5
x > y
x > y
→if =-1
x > y
x > y
i.e x > y

2. 3x² − 7x + 2 = 0
3x(x-2)+(x-2)=0
→x=2,-1/3
2y² − 11x + 15 = 0
2y(y-3)-5(y-3)=0
→y=3,5/2
If x=2
x<y,x<y
if x=-1/3
x<y,x<y
i.e x<y

3. 10X² − 7x + 1 = 0
5x (2x-1)-(2x-1)=0
→x=1/2, 1/5
35y² − 12y + 1 = 0
7y (5y-1)-(5y-1)=0
→y=1/7,1/5
If x=1/5
x>y
x=y
If x=1/2
x>y
x>y
i.e x ≥ y

4. 4x² = 25
→X=5/2, -5/2
2y² − 13y + 21 = 0
2y(y-3)-7(y-3)=0
→y=3,7/2
If x=5/2
x<y
x<y
if x=-5/2
Both cases x<y
i.e x<y

5. 3x² + 7x = 6
3x(x+3)-2(x+3)=0
→x= 2/3,-3
10y² – 7y + 1 = 0
5y(2y-1)-(2y-1)=0
→y=1/2, 1/5
If x=2/3
x>y
x>y
if x=-3
x<y
x<y
i.e relation cannot be established

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