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Quadratic Equations

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Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?

A. 3x2 + 5x – 2 = 0

B. 3x2 + 5x + 2 = 0

C. 3x2 – 5x + 2 = 0

D. 3x2 – 5x – 2 = 0

Quadratic Equations · Easy · 1 month ago

Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 8x + 4 = 0?

A. 15

B. 14

C. 24

D. 26

Quadratic Equations · Easy · 1 month ago

If a and b are the roots of the equation x2 – 9x + 20 = 0, find the value of a2 + b2 + ab?

A. -21

B. 1

C. 61

D. 21

Quadratic Equations · Easy · 1 month ago

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

Quadratic Equations · Easy · 1 month ago

One root of the quadratic equation x2 – 12x + a = 0, is thrice the other. Find the value of a?

A. 29

B. 27

C. 28

D. 7

Quadratic Equations · Easy · 1 month ago

The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?

A. 9, 10

B. 10, 11

C. 11, 12

D. 12, 13

Quadratic Equations · Easy · 1 month ago

If the roots of the equation 2x2 – 5x + b = 0 are in the ratio of 2:3, then find the value of b?

A. 3

B. 4

C. 5

D. 6

Quadratic Equations · Easy · 1 month ago

The sum and the product of the roots of the quadratic equation x(power 2) + 20x + 3 = 0 are?

A. 10, 3

B. -10, 3

C. -20, 3

D. -10, -3

Quadratic Equations · Easy · 1 month ago

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