the quadratic formula, the ant and the sum and product of solutions
TRANSCRIPT
MathematicsThe Quadratic Formula, the Discriminant and the Sum and Product of Solutions
Source: Prentice Hall, Algebra 2 with Trigonometry (Bettye C. Hall & Mona Fabricant ©1995)
THE QUADRATIC FORMULA
The solutions of the quadratic equation are given by the formula
THE DISCRIMANT
Recall that: and are solutions
to the quadratic equation
The expression is called the discriminant.Without actually solving the equation, we can obtain information
about the solutions by examining the discriminant.
Discrimant, Nature of solutions,
and a perfect square two real, rational, unequal numbers
and not a perfect square two real, irrational, unequal numbers
one real, rational number (double)
two complex conjugate numbers
THE SUM AND PRODUCT OF SOLUTIONS
“The essence of mathematics is not to make simple things complicated, but to make complicated things simple.”
-- S. Gudder
If and are solutions of the equation , ,
then and