**1. **Explain why the equation (x - 4)^{2} - 10 = 15 has two solutions. Then solve the equation to find the solutions. __Show your work!__

Rubric:

**Points**

**Concept Addressed**

/2

Correctly explains why the equation has two solutions.

/4

Correctly determines the solutions of the equation and **shows all work!**

Answer**:**

**1. **This is Josh's solution for the equation x^{2 -} 6x - 7 = 0:

x2-6x-7=0

x2-6x=7

x2-6x+9=7+9

(x-3)2=16

x-3=16

x=19

x-3=-16

x=-13

Is Josh's solution correct? Explain.

Rubric:

**Points**

**Concept Addressed**

/1

Correctly states whether or not Josh's solution is correct.

/2

Correctly explains why Josh's solution is or is not correct.

**1. **Use the quadratic formula to solve 2x^{2} = 7x + 6. Leave your answer in radical form.

**Show all of your work!**

Rubric:

**Points**

**Concept Addressed**

/2

Correctly identifies a, b and c in the quadratic formula.

/4

Correctly finds the solutions using the quadratic formula and writes answers in simplified radical form.

#### Top Answer

1.) The equation has two solutions as the degree of the equation is 2 . The solutions of the equation are... View the full answer

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its a polynomial of degree two... View the full answer