Algebra 1B-The Quadratic Formula: Mastery Test

Michele correctly solved a quadratic equation using the quadratic formula as shown below. x = -(-5) ±√(-5)^2 - 4(7)(-2) / 2(7) Which could be the equation Michele solved?

7x^2 - 5x + 3 = 5

What are the solutions of the quadratic equation below? 2x ^2 − 2x − 9 = 0

1 ± √19 / 2

Consider this quadratic equation. 2x^2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?

x = -(-3) ± √(-3)^2 - 4(2)(-5) / 2(2)

What are the solutions of this quadratic equation? x^2 + 8x + 3 = 0

x = -4 ± √13

What are the solutions to this quadratic equation? 4x^2 - 10 = 10 - 20x

x = -5 ± 3√5 / 2

Which equation could be solved using this application of the quadratic formula? -3 ± √3^2 - 4(1)(24) / 2(2)

x^2 + 6x + 24 + 3x

Which equations have no real solution but have two complex solutions?

★3x^2 - 5x = -8 ★2x^2 = 6x - 5 ★-x^2 - 10x = 34

Determine the number of real solutions for each of the given equations.

★y = -3x^2 + x + 12 >>>> two real solutions ★y = 2x^2 - 6x + 5 >>>> no real solutions ★y = x^2 + 7x - 11 >>>> two real solutions ★y = -x^2 - 8x - 16 >>>> one real solution