# Nature of Roots/ Sum and Product of Roots Of QE

## Quizย by Roselia Jose

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10 questions
• Q1

If ๐2 โ 4๐๐ > 0, and perfect square, then the roots of ๐๐ฅ2 + ๐๐ฅ + ๐ = 0 are ____________.

Real, rational and equal

Real, rational and unequal

Imaginary and unequal

Real, irrational and equal

45s
• Q2

If the discriminant of a quadratic equation is equal to zero (0), which statement best describes its roots?

Real, irrational and equal

Real, rational and equal

Real, rational and unequal

Imaginary and unequal

45s
• Q3

What is the sum of the roots of the quadratic equation ๐๐ฅ2 + ๐๐ฅ + ๐ = 0?

$\frac\left\{-\ c\right\}\left\{a\right\}$

$\frac\left\{c\right\}\left\{a\right\}$

$\frac\left\{b\right\}\left\{a\right\}$

$\frac\left\{-\ b\right\}\left\{a\right\}$

45s
• Q4

What is the product of the roots of the quadratic equation ๐๐ฅ2ย + ๐๐ฅ + ๐ = 0?

$\frac\left\{-\ b\right\}\left\{a\right\}$

$\frac\left\{c\right\}\left\{a\right\}$

$\frac\left\{-c\right\}\left\{a\right\}$

$\frac\left\{b\right\}\left\{a\right\}$

45s
• Q5

Which of the following can be used to find the quadratic equation given the sum and product of roots?ย

๐ฅ2ย + (sum of roots)๐ฅ - (product of roots) = 0

๐ฅ2ย -ย  (sum of roots)๐ฅ - (product of roots) = 0

๐ฅ2ย +ย  (sum of roots)๐ฅ + (product of roots) = 0

๐ฅ2ย -ย  (sum of roots)๐ฅ + (product of roots) = 0

45s
• Q6

If ๐2 โ 4๐๐ < 0 , then the roots of a๐ฅ2- bx + c =0 are real and irrational.

always true

sometimes true

never true

maybe true

45s
• Q7

The nature of the roots of a quadratic equation depends on the value ๐2 โ 4๐๐ and it is known as theย  ______.

sum of roots

discriminant

product of roots

45s
• Q8
300s
• Q9

What is the discriminant of the quadratic equation 2๐ฅ2 โ 6๐ฅ + 10 = 0 ?

36

44

- 44

80

300s
• Q10

What is the nature of roots of the equation ๐ฅ2 โ 6๐ฅ + 9 = 0 ?

Real, rational and unequal

Real, irrational and unequal

Real, rational and equal

imaginary and unequal

300s

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