QuestionSolve using the quadratic formula.
Studdy Solution
STEP 1
1. The equation is a quadratic equation in standard form .
2. The quadratic formula can be used to find the solutions of the equation, where , , and .
STEP 2
1. Identify the coefficients , , and .
2. Substitute the coefficients into the quadratic formula.
3. Calculate the discriminant.
4. Use the discriminant to find the solutions.
5. Simplify the solutions.
STEP 3
Identify the coefficients from the quadratic equation :
STEP 4
Write down the quadratic formula:
Substitute the identified coefficients , , and into the formula:
STEP 5
Calculate the discriminant :
STEP 6
Substitute the discriminant back into the quadratic formula:
STEP 7
Simplify the expression:
First, simplify :
Substitute back into the equation:
Simplify the fraction by factoring out common terms:
Thus, the solutions are:
The solutions to the quadratic equation are:
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