Solving Quadratic Equations Texas

• Factoring (Diamond Method)

• Factoring (Grouping)

• Quadratic Formula

• Finding square roots

• No real solutions

• No real solutions

• No real solutions

• No real solutions

When does a quadratic equation have no real solutions?

• When you cannot factor it

• When it begins with a negative leading coefficient

• When there is a square root of a negative number

• When it only has two terms

Solve using the Quadratic Formula:

2x² − x − 3 = 0

Factor x²-6x-40

• (x-10)(x+4)

• (x+10)(x-4)

• (x-8)(x+5)

• (x+8)(x-5)

Solve using any form of factoring or Quadratic Formula

x² + 6x + 9 = 0

• x = −3, 3

• x = −3

• x = 3

• No Solution

Solve for the values of x:

(x + 2)(x - 3) = 0

• { 2, 3 }

• { -2, -3 }

• { 2, 3 }

• { -2, 3 }