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

## Quizย by Roselia Jose

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- Q1
If ๐2 โ 4๐๐ > 0, and perfect square, then the roots of ๐๐ฅ

^{2}+ ๐๐ฅ + 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 ๐๐ฅ

^{2}+ ๐๐ฅ + ๐ = 0?$\backslash frac\{-\backslash \; c\}\{a\}$

$\backslash frac\{c\}\{a\}$

$\backslash frac\{b\}\{a\}$

$\backslash frac\{-\backslash \; b\}\{a\}$

45s - Q4
What is the product of the roots of the quadratic equation ๐๐ฅ

^{2}ย + ๐๐ฅ + ๐ = 0?$\backslash frac\{-\backslash \; b\}\{a\}$

$\backslash frac\{c\}\{a\}$

$\backslash frac\{-c\}\{a\}$

$\backslash frac\{b\}\{a\}$

45s - Q5
Which of the following can be used to find the quadratic equation given the sum and product of roots?ย

๐ฅ

^{2}ย + (sum of roots)๐ฅ - (product of roots) = 0๐ฅ

^{2}ย -ย (sum of roots)๐ฅ - (product of roots) = 0๐ฅ

^{2}ย +ย (sum of roots)๐ฅ + (product of roots) = 0๐ฅ

^{2}ย -ย (sum of roots)๐ฅ + (product of roots) = 045s - Q6
If

^{๐2}โ 4๐๐ < 0 , then the roots of a๐ฅ2- 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 4๐๐ and it is known as theย ______.sum of roots

discriminant

product of roots

quadratic formula

45s - Q8300s
- Q9
What is the discriminant of the quadratic equation 2๐ฅ

^{2}โ 6๐ฅ + 10 = 0 ?36

44

- 44

80

300s - Q10
What is the nature of roots of the equation ๐ฅ

^{2 }โ 6๐ฅ + 9 = 0 ?Real, rational and unequal

Real, irrational and unequal

Real, rational and equal

imaginary and unequal

300s