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We are providing the most important **Quadratic Equations (Inequalities) for SBI PO 2019, SBI Clerk 2019** and all **other competitive bank and insurance exams**. These questions have very high chances to be asked in **SBI PO 2019, SBI Clerk 2019.
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Directions:1-5) **In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.**

1.

2x^{2} + x – 1 = 0

6y^{2 }– 13y + 5 = 0

2.

21x^{2} – 122x + 165 = 0

3y^{2} – 2y – 33 = 0

3.

5x^{2 }– 29x + 36 = 0

10y^{2 }– 3y – 27 = 0

4.

7x + 4y = 3

5x + 3y = 3

5.

7x^{2} – 54x + 99 = 0

4y^{2} – 16y + 15 = 0

Directions:6-10) **In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.**

6.

3X^{2} +21x +30 =0

5Y^{2}+22y +21 =0

7.

3x^{2}– 20x + 32 = 0

2y^{2} – 19y + 44 = 0

8.

7x – 4y = 40

8x + 8y = 8

9.

(2025X) ^{1/2 }+3600= 0

(16)^{1/4} y + (512)^{1/3} = 0

10.

15x^{2} + 68x + 77 = 0

3y^{2} + 29y + 68 = 0

**Check your Answers below:**

Directions:1-5) **In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer.**

##### 1. Question

2x^{2} + x – 1 = 0

6y^{2 }– 13y + 5 = 0

2x

^{2}+ x – 1 = 0

X = -1, 1/2

6y

^{2 }– 13y + 5 = 0

Y = 10 /6 , 3/6 = 1.666 , 0.5

x ≤ y

##### 2. Question

21x^{2} – 122x + 165 = 0

3y^{2} – 2y – 33 = 0

21x

^{2}– 122x + 165 = 0

X = 11/3, 15/7

3y

^{2}– 2y – 33 = 0

Y = -3, 11/3

If x = y or relation cannot be established

##### 3. Question

5x^{2 }– 29x + 36 = 0

10y^{2 }– 3y – 27 = 0

5x

^{2 }– 29x + 36 = 0

X = 4,9/5

10y

^{2 }– 3y – 27 = 0

Y = -3/2 , 9/5 .

x ≥ y

##### 4. Question

7x + 4y = 3

5x + 3y = 3

7x + 4y = 3

5x + 3y = 3

X = -3, Y= 6.

x < y

##### 5. Question

7x^{2} – 54x + 99 = 0

4y^{2} – 16y + 15 = 0

7x

^{2}– 54x + 99 = 0

X = 33/7, 3

4y

^{2}– 16y + 15 = 0

Y = 3/2, 5/2

x > y

Directions:6-10)

##### 6. Question

3X^{2} +21x +30 =0

5Y^{2}+22y +21 =0

3X

^{2}+21x +30 =0

X = -5,-2

5Y

^{2}+22y +21 =0

Y = -3,-1.4

If x = y or relation cannot be established

##### 7. Question

3x^{2}– 20x + 32 = 0

2y^{2} – 19y + 44 = 0

3x

^{2}– 20x + 32 = 0

x = 4,8/3

2y

^{2}– 19y + 44 = 0

y = 4 ,11/2

x ≤ y

##### 8. Question

7x – 4y = 40

8x + 8y = 8

7x – 4y = 40

8x + 8y = 8

X= 4, Y = – 3.

x > y

##### 9. Question

(2025X) ^{1/2 }+3600= 0

(16)^{1/4} y + (512)^{1/3} = 0

(2025X)

^{1/2 }+3600= 0

X = 6400

2y+8=0

y =-8/2 =-4.

x > y

##### 10. Question

15x^{2} + 68x + 77 = 0

3y^{2} + 29y + 68 = 0

15x

^{2}+ 68x + 77 = 0

X = -7/3, -11/5

3y

^{2}+ 29y + 68 = 0

y= -4, -17/3

x > y