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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 the following questions, two equations numbered are given in variables p and q. You have to solve both the equations and find out the relationship between p and q. Then give answer accordingly-**

1.

I.3p^{2} + 25p + 50 = 0

II.2q^{2} + 9q + 10 = 0

2.

I.3p^{2} – 4p – 4 = 0

II.3q^{2} – 10q – 8 = 0

3.

I.3p^{2} – 5p – 12 = 0

II.2q^{2} – 3q – 14 = 0

4.

I.2p^{2} – 17p + 35 = 0

II.3q^{2} – 13q + 14 = 0

5.

I.3p^{2} + p – 24 = 0

II.3q^{2} – 20q + 32 = 0

Directions:6-10) **In the following questions, two equations I and II are given. You have to solve both the equations and g****ive Answer as,**

6.

- 9x + 5y = -26
- 3x – 4y = -20

7.

- x
^{2}– 19x + 48 = 0 - y
^{2}– 9y – 52 = 0

8.

- 2x
^{2}– 20x + 32 = 0 - 4y
^{2}– 25y + 36 = 0

9.

- x + √961 = √2916
- y = ∛9261

10.

- x
^{2}+ 30x + 81 = 0 - y
^{2}+ 16y + 48 = 0

**Check your Answers below:**

Directions:1-5):

**In the following questions, two equations numbered are given in variables p and q. You have to solve both the equations and find out the relationship between p and q. Then give answer accordingly-**##### 1. Question

I.3p

^{2}+ 25p + 50 = 0

II.2q^{2}+ 9q + 10 = 0Ans:2

3p^{2}+ 25p + 50 = 03p

^{2}+15p+10p+50 =0(3p+10) (p+5) =0

p = -5, -10/3

2q

^{2}+ 9q + 10 = 0

2q^{2}+4q+5q+10 =0(2q+5) (q+2) =0

q = -5/2, -2

-5………-10/3………-5/2……..-2##### 2. Question

I.3p

^{2}– 4p – 4 = 0II.3q

^{2}– 10q – 8 = 0Ans:5

3p^{2}– 4p – 4 = 03p

^{2}-6p+2p-4 =0(3p+2) (p-2) =0

p = -2/3, 2

3q

^{2}– 10q – 8 = 03q

^{2}-12q+2q-8 =0(3q+2) (q-4) =0

q = -2/3, 4

-2/3………2………4##### 3. Question

I.3p

^{2}– 5p – 12 = 0

II.2q^{2}– 3q – 14 = 0

Ans:5

3p^{2}– 5p – 12 = 0

3p^{2}-9p+4p-12=0(3p+4) (p-3) =0

p = -4/3, 3

2q

^{2}– 3q – 14 = 0

2q^{2}+ 4q-7q-14 =0(2q-7) (q+2) = 0

q = -2, 7/2

-4/3…….. -2………..3……. 7/2##### 4. Question

I.2p

^{2}– 17p + 35 = 0

II.3q^{2}– 13q + 14 = 0Ans:1

2p^{2}– 17p + 35 = 0

2p^{2}-10p -7p+35 =0(2p-7) (p-5) =0

p = 7/2, 5

3q

^{2}– 13q + 14 = 03q

^{2}-6q-7q+14=0(3q-7) (q-2) =0

q = 2, 7/3

2………7/3…….7/2………5##### 5. Question

I.3p

^{2}+ p – 24 = 0

II.3q^{2}– 20q + 32 = 0Ans:4

3p^{2}+ p – 24 = 0

3p^{2}+9p-8p-24 =0(3p-8) (p+3) =0

p = -3, 8/3

3q

^{2}– 20q + 32 = 03q

^{2}-12q-8q+32 =0(3q-8) (q-4) =0

q = 8/3, 4

-3…….. 8/3……..4Directions:6-10)

**In the following questions, two equations I and II are given. You have to solve both the equations and g****ive Answer as,**##### 6. Question

- 9x + 5y = -26
- 3x – 4y = -20

Ans:3

9x + 5y = -26 —à (1)3x – 4y = -20 —à (2)

By substituting (1) and (2), we get,

X = -4, y = 2

X < y

##### 7. Question

- x
^{2}– 19x + 48 = 0 - y
^{2}– 9y – 52 = 0

Ans:5

I. x^{2}– 19x – 48 = 0(x – 16) (x – 3) = 0

X = 16, 3

II. y

^{2}– 9y – 52 = 0(y – 13) (y + 4) = 0

Y = 13, -4

Can’t be determined

- x
##### 8. Question

- 2x
^{2}– 20x + 32 = 0 - 4y
^{2}– 25y + 36 = 0

Ans:5

I. 2x^{2}– 20x + 32 = 02x

^{2}– 4x -16x + 32 = 02x (x – 2) – 16 (x – 2) = 0

(2x – 16) (x – 2) = 0

X = 16/2, 2 = 8, 2

II. 4y

^{2}– 25y + 36 = 04y

^{2}– 16y – 9y + 36 = 04y(y – 4) -9 (y – 4) = 0

(4y – 9) (y – 4) = 0

Y = 9/4, 4 = 2.25, 4

Can’t be determined

- 2x
##### 9. Question

- x + √961 = √2916
- y = ∛9261

Ans:1

I. x + √961 = √2916X = 54 – 31 = 23

II. y = ∛9261

Y = 21

X > y

##### 10. Question

- x
^{2}+ 30x + 81 = 0 - y
^{2}+ 16y + 48 = 0

Ans:5

I. x^{2}+ 30x + 81 = 0(x + 27) (x + 3) = 0

X = -27, -3

II. y

^{2}+ 16y + 48 = 0(y + 12) (y + 4) = 0

Y = -12, -4

Can’t be determined

- x