Nature of Roots/ Sum and Product of Roots Of QE

Quiz by Roselia Jose

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Q 1/10
Score 0
If 𝑏2 − 4𝑎𝑐 > 0, and perfect square, then the roots of 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0 are ____________.
29
Real, rational and equal
Real, rational and unequal
Imaginary and unequal
Real, irrational and equal

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10 questions

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Q1
If 𝑏2 − 4𝑎𝑐 > 0, and perfect square, then the roots of 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 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 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0?
$\frac{-\ c}{a}$
$\frac{c}{a}$
$\frac{b}{a}$
$\frac{-\ b}{a}$
45s
Q4
What is the product of the roots of the quadratic equation 𝑎𝑥² + 𝑏𝑥 + 𝑐 = 0?
$\frac{-\ b}{a}$
$\frac{c}{a}$
$\frac{-c}{a}$
$\frac{b}{a}$
45s
Q5
Which of the following can be used to find the quadratic equation given the sum and product of roots?
𝑥² + (sum of roots)𝑥 - (product of roots) = 0
𝑥² - (sum of roots)𝑥 - (product of roots) = 0
𝑥² + (sum of roots)𝑥 + (product of roots) = 0
𝑥² - (sum of roots)𝑥 + (product of roots) = 0
45s
Q6
If ^𝑏2 − 4𝑎𝑐 < 0 , then the roots of a𝑥2- 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 𝑏² − 4𝑎𝑐 and it is known as the ______.
sum of roots
discriminant
product of roots
quadratic formula
45s
Q8
300s
Q9
What is the discriminant of the quadratic equation 2𝑥² − 6𝑥 + 10 = 0 ?
36
44
- 44
80
300s
Q10
What is the nature of roots of the equation 𝑥²− 6𝑥 + 9 = 0 ?
Real, rational and unequal
Real, irrational and unequal
Real, rational and equal
imaginary and unequal
300s

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Nature of Roots/ Sum and Product of Roots Of QE

Quiz by Roselia Jose

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