Quadratic Equations

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

If the roots of a quadratic equation are α and β, what is the equation?

Back

x² - (α + β)x + αβ = 0

Front

What is the equation if the roots are 3 and 5?

Back

x² - 8x + 15 = 0

Front

How do you form a quadratic equation from roots -2 and -4?

Back

x² + 6x + 8 = 0

Front

What is the sum of the roots in the equation x² - 7x + 10 = 0?

Back

7

Front

What is the product of the roots in x² - 7x + 10 = 0?

Back

10

Front

If one root is 1/2 and the other is -3, what is the equation?

Back

x² + (5/2)x - 3/2 = 0

Front

How to form an equation if the roots are √2 and -√2?

Back

x² - 2 = 0