Retake Unit 2 Flashcard 3 Part A IGCSE

Front

Solve the equation: x² + 18x = 4x - 49

Back

x = -7

Front

Solve the equation: (2/3)x² + 15 = 23

Back

x = ±2√3

Front

Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.

Back

The integers are 9 and 10.

Front

Solve the equation: x² + 10x = 24

Back

x = 2, x = -12

Front

Solve the equation: x² - 6x - 23 = 0

Back

x = 3 ± 4√2

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

Define a quadratic equation.

Back

An equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What are the roots of a quadratic equation?

Back

The values of x that satisfy the equation ax² + bx + c = 0.

Front

What does it mean to simplify an irrational solution?

Back

To express the solution in its simplest form, often involving square roots.

Front

What is the discriminant in a quadratic equation?

Back

The value b² - 4ac, which determines the nature of the roots.