QuestionSolve and express your answers in surd form.
Studdy Solution
STEP 1
Assumptions1. We are solving the equation for .
. The solutions can be real or complex numbers.
3. The solutions should be expressed in surd form.
STEP 2
First, we need to expand the left side of the equation.
So the equation becomes
STEP 3
Next, we need to rearrange the equation to make it a standard quadratic equation of the form . We can do this by subtracting3 from both sides of the equation.
STEP 4
implify the equation.
STEP 5
Now, we can solve the quadratic equation using the quadratic formulawhere , , and .
STEP 6
Substitute the values of , , and into the quadratic formula.
STEP 7
implify the equation.
STEP 8
Further simplify the equation.
So the solutions of the equation in surd form are and .
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