Crossword puzzle

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