Isolve the following equation: x^2+5=4x For multiple solutions separate your answers by a comma. square

Question

Answer 1

We are tasked with solving the quadratic equation:

### Step 1: Rearrange the equation into standard quadratic formThe standard form of a quadratic equation is:

Rearranging

, we subtract

from both sides:

### Step 2: Solve using the quadratic formulaThe quadratic formula is given by:

Here,

,

, and

. Substituting these values into the formula:

Simplify step-by-step:1. Calculate

:

2. Compute the discriminant (

):

3. Substitute into the formula:

### Step 3: Simplify the square root of the negative discriminantSince the discriminant is negative (

), the solutions will involve imaginary numbers. Recall that

, so:

Substitute this back into the equation:

### Step 4: Simplify the expressionSplit the terms in the numerator:

Simplify each term:

### Final Answer:The solutions to the equation are:

Question