Across
- 3. In the quadratic equation ax^2 + bx + c = 0, the discriminant is the expression b^2 - 4ac. It determines the nature and number of solutions.
- 6. A number or expression that divides another number or expression evenly without leaving a remainder.
- 7. A mathematical expression or equation of degree 2, typically in the form of ax^2 + bx + c = 0, where a, b, and c are constants.
- 10. the square A technique used to rewrite a quadratic expression as a perfect square trinomial, allowing for easier factoring or solving.
- 13. number A number that consists of a real part and an imaginary part, typically written in the form a + bi, where a and b are real numbers and i is the imaginary unit (i.e., sqrt(-1)).
- 14. term The term of degree 1 in a quadratic equation, represented by bx.
- 16. solution A solution that does not satisfy the original equation but may satisfy an intermediate step during solving.
- 17. formula The formula x = (-b ± sqrt(b^2 - 4ac))/(2a) used to find the solutions of a quadratic equation.
- 20. number A complex number where the real part is 0, represented as bi, where b is a non-zero real number.
Down
- 1. term The term of degree 2 in a quadratic equation, represented by ax^2.
- 2. A mathematical statement that compares two expressions using symbols such as >, <, ≥, or ≤.
- 4. conjugate For a complex number a + bi, the complex conjugate is a - bi, where an and b are real numbers.
- 5. The U-shaped graph of a quadratic function, typically represented by the equation y = ax^2 + bx + c.
- 8. A constant factor that multiplies a variable or term in an algebraic expression or equation.
- 9. The highest or lowest point on a parabola, also known as the maximum or minimum point.
- 11. A solution or value that makes an equation or polynomial equal to zero.
- 12. A value or set of values that satisfies an equation or inequality, making it true.
- 15. A mathematical statement that asserts the equality of two expressions, typically involving one or more variables.
- 18. of symmetry The vertical line that divides a parabola into two symmetrical halves, passing through the vertex.
- 19. number A number that can be expressed as a finite or infinite decimal, including whole numbers, fractions, and irrational numbers.