 Learning Target: Students will solve quadratic equations using the quadratic formula in mathematical and real-world situations and use the determinant.

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Learning Target: Students will solve quadratic equations using the quadratic formula in mathematical and real-world situations and use the determinant to determine how many solutions there will be> Homework: HomeRun worksheet

Ax² + Bx + C = 0 Ex 1: Write the quadratic equation. (a) A= 2, B = 3, C = -5 2x² + 3x – 5 = 0 (b)A= 1, B = -4, C = 8 (c)A = -5, B = 0, C = 25 -5x² + 25 = 0 x² - 4x + 8 = 0

*In order for the quadratic formula to work, the equation MUST EQUAL 0! The Quadratic Formula will find all x-values in any quadratic equation. On a graph, these would be the x-intercepts (zeros, roots).

# of Solutions Positive2 zero1 NegativeNone (or non-real)

According to this determinant, how many solutions will this quadratic equation have?

EquationFill in the Quadratic Formula What is the Discriminant? How Many Solutions? Work & Solutions 3x² -5x - 2 = 0

 HOME RUN worksheet  Find the solutions using the quadratic formula