Quadratic Equation Part 2 Quiz

Quadratic Equation Part 2 Quiz continues the journey into equations that have fascinated mathematicians for centuries. An interesting anecdote is about François Viète, the French mathematician after whom Vieta’s formulas are named. His work in the 16th century introduced a clear link between the coefficients of a quadratic equation and the sum and product of its roots. This was groundbreaking because it allowed people to understand patterns without directly solving every equation. Ideas like reciprocal roots and the structure of a quadratic function still trace their roots to his insight. This quiz builds on such timeless ideas and presents them in a way that is simple to follow and enjoyable to practice.

Quadratic Equation Part 2

What is the discriminant D if the roots of a quadratic equation are equal?

Positive

Zero

Negative

Imaginary

If roots of a quadratic equation are -4 and 7 then find the equation.

x² + 3x + 28 = 0

x² + 3x - 28 = 0

x² - 3x + 28 = 0

x² - 3x - 28 = 0

Find the quadratic equation if it's roots are √3 and -√3?

x² - 3 = 0

x² + 3 = 0

x² - 2√3x + 9 = 0

x² + 2√3x - 9 = 0

If one of the roots of the quadratic equation x² + (m - 2)x - m = 0 is 3 then find the value of m.

-2

-3/2

-5/2

What is the condition for a quadratic equation if its roots are reciprocals?

c = a

c = b

b = a

a = 0

Which of the following quadratic equations has sum of roots as 0?

x² = x

x² - px = 0

x² + px - q = 0

x² - q = 0

A quadratic equation always has:

At least one real root

At most two roots

At least three roots

Linear roots only

If product of roots = -4 and sum = 0, the quadratic is:

x² + 16 = 0

x² - 16 = 0

x² + 4 = 0

x² - 4 = 0

If roots are rational, discriminant must be:

A perfect square

Negative

Zero

Odd

Find the value(s) of k for kx(x - 2) + 6 = 0 has real and equal roots.

Your score is

The average score is 0%

Sample Questions from This Quiz

What is the discriminant D if the roots of a quadratic equation are equal?
If roots of a quadratic equation are -4 and 7 then find the equation.
Find the quadratic equation if it’s roots are √3 and -√3?
If one of the roots of the quadratic equation x² + (m – 2)x – m = 0 is 3 then find the value of m.
What is the condition for a quadratic equation if its roots are reciprocals?

Try the full quiz and see how many of these you can answer!