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7-7 using the discriminant. Algebra 1 CP – Miss Battaglia Objective: using the discriminant to find the number of solutions of a quadratic equation. Warm up. Each equation is in the form of ax 2 + bx + c = 0. Find the value of the expression b 2 – 4ac for each equation.
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7-7 using the discriminant Algebra 1 CP – Miss Battaglia Objective: using the discriminant to find the number of solutions of a quadratic equation.
Warm up • Each equation is in the form of ax2 + bx + c = 0. Find the value of the expression b2 – 4ac for each equation. • a. x2 + 2x + 5 = 0 b. ½ x2 + x + 4 = 0
The quantity b2 – 4ac is called the discriminant of a quadratic equation. • Complete student handout.
What are your conclusions? • When the discriminant is positive, then the equation has real solutions. • When the discriminant equals zero, then the equation has real solutions. • When the discriminant is negative, then the equation has real solutions.
Find the number of solutions • 3x2 – 5x = 1
Homework • Pg351 – 352 # 4 – 11, 22 – 27