Find the roots by using the quadratic formula x^2+4x+13=0 x=-2pm 3i x=-2pm sqrt (17) x=1 and x=-5 x=2pm 3i

Question

Answer 1

## Step 1: Identifying the coefficients### The quadratic equation is given as

. We can identify the coefficients as

,

, and

.## Step 2: Applying the quadratic formula### The quadratic formula is given by

. Substituting the values of

,

, and

, we get:

## Step 3: Simplifying the expression### Simplifying the expression under the square root:

## Step 4: Evaluating the square root of a negative number### Since the value under the square root is negative, we will have complex roots.

.

## Step 5: Simplifying to obtain the roots### Dividing both the real and imaginary parts by 2:

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