section 4.7 – the quadratic formula students will be able to: to solve equations using the...

Section 4.7 – The Quadratic Formula

Students will be able to:

• To solve equations using the Quadratic Formula

•To determine the number of solutions by using the discriminant

Lesson Vocabulary:

Quadratic Formula

Discriminant

Section 4.7 – The Quadratic Formula

Essential Understanding:

You can solve a quadratic equation

ax2 +bx + c = 0 is completing the square and factoring.

Section 4.7 – The Quadratic Formula

Section 4.7 – The Quadratic Formula

Problem 1:

What are the solutions?

Use the Quadratic Formula.

2x2 – x = 4

Section 4.7 – The Quadratic Formula

Problem 1b:

What are the solutions?

Use the Quadratic Formula.

x2 + 6x +9 = 0

Section 4.7 – The Quadratic Formula

Problem 1c:

What are the solutions?

Use the Quadratic Formula.

x2 + 4x = -4

Section 4.7 – The Quadratic Formula

Problem 1d:

What are the solutions?

Use the Quadratic Formula.

x2 + 4x - 3 =0

Section 4.7 – The Quadratic Formula

Problem 2:

Section 4.7 – The Quadratic Formula

Section 4.7 – The Quadratic Formula

Section 4.7 – The Quadratic Formula

Problem 3:

What is the number of real solutions of

-2x2 – 3x + 5 = 0?

Section 4.7 – The Quadratic Formula

Problem 3b:

What is the number of real solutions of

2x2 – 3x + 5 = 0?

Section 4.7 – The Quadratic Formula

Problem 3c:

What is the number of real solutions of

x2 = 6x +5?

Section 4.7 – The Quadratic Formula

Problem 3d:

Without graphing, determine how many

x-intercepts each function has

y = 3x2 -10x + 6?

Section 4.7 – The Quadratic Formula

Problem 3e:

Without graphing, determine how many

x-intercepts each function has

y = x2 +17x – 2 ?

Section 4.7 – The Quadratic Formula

Problem 4:

Section 4.7 – The Quadratic Formula

Problem 4b:

Section 4.7 – The Quadratic Formula

Problem 4c:

Section 4.7 – The Quadratic Formula

Problem 5:

Solve:

|5 – 2x2| = 5

Section 4.7 – The Quadratic Formula

Problem 5b:

Solve:

| x2 +4x +3| = 8

Section 4.7 – The Quadratic Formula

Lesson Check:

Section 4.7 – The Quadratic Formula

Lesson Check: