Quadratic Equations Challenge

Mathematics

A problem involving a quadratic equation where one root is one greater than the other, requiring the determination of roots and coefficients.

Algebra Quadratic Equations Roots

5 Questions Medium Ages 15+ Apr 27, 2026

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About this Study Set

This study set covers Mathematics through 5 practice questions. A problem involving a quadratic equation where one root is one greater than the other, requiring the determination of roots and coefficients. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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Browse all 5 questions from the Quadratic Equations Challenge study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 If one root of the quadratic equation 2px^2 - 10px - 3 = 0 is alpha, and the other root is one more than alpha, what is the other root?

A alpha - 1
B alpha + 1
C alpha^2
D 1/alpha

2 For the quadratic equation ax^2 + bx + c = 0, what is the sum of the roots?

A -b/a
B b/a
C c/a
D -c/a

3 For the quadratic equation ax^2 + bx + c = 0, what is the product of the roots?

A -b/a
B b/a
C c/a
D -c/a

4 In the equation 2px^2 - 10px - 3 = 0, what is the sum of the roots in terms of p?

A 5
B 10p
C 5/p
D -5

5 In the equation 2px^2 - 10px - 3 = 0, what is the product of the roots in terms of p?

A 3/2p
B -3/2p
C -3/p
D 3/p

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