### All Common Core: High School - Algebra Resources

## Example Questions

### Example Question #1 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #2 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #3 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #4 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #5 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #6 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #1 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an \uptext{i}, outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #8 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #9 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

### Example Question #10 : Solve Quadratic Equations By Inspection, Quadratic Formula, Factoring, Completing The Square, And Taking Square Roots: Ccss.Math.Content.Hsa Rei.B.4b

Solve

**Possible Answers:**

**Correct answer:**

We can solve this by using the quadratic formula.

The quadratic formula is

, , and correspond to coefficients in the quadratic equation, which is

In this case , , and .

Since the number inside the square root is negative, we will have an imaginary answer.

We will put an , outside the square root sign, and then do normal operations.

Now we split this up into two equations.

So our solutions are and

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