A. If x < y

**B. If x > y**

C. If x ≤ y

D. If x ≥ y

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# Quadratic Equations

## I. x

## Find the roots of the quadratic equation: 2×2 + 3x – 9 = 0?

A. 3, -3/2

**B. 3/2, -3**

C. -3/2, -3

D. 3/2, 3

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## If a and b are the roots of the equation x^{2} – 9x + 20 = 0, find the value of a^{2} + b^{2} + ab?

A. -21

B. 1

**C. 61**

D. 21

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## I. a^{3} – 988 = 343,

II. b^{2} – 72 = 49 to solve both the equations to find the values of a and b?

A. If a > b

**B. If a ≥ b**

C. If a < b

D. If a ≤ b

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## The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?

A. 18, 20, 22

**B. 20, 22, 24**

C. 22, 24, 26

D. 24, 26, 28

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## (i). a^{2} + 11a + 30 = 0,

(ii). b^{2} + 6b + 5 = 0 to solve both the equations to find the values of a and b?

A. If a < b

**B. If a ≤ b**

C. If the relationship between a and b cannot be established

D. If a > b

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## Find the roots of quadratic equation: 3x^{2} – 7x – 6 = 0?

A. -6, 3

**B. 3, -2/3**

C. -5, 2

D. -9, 2

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## Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x^{2} + 8x + 4 = 0?

A. 15

**B. 14**

C. 24

D. 26

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