SOLUTION: Solve each of the following quadratic equations by completing the square.
x2 - 6x - 3 = 0
Algebra.Com
Question 115422: Solve each of the following quadratic equations by completing the square.
x2 - 6x - 3 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Add 3 to both sides
Take half of the x coefficient -6 to get -3 (ie )
Now square -3 to get 9 (ie )
Add this result (9) to both sides. Now the expression is a perfect square trinomial.
Factor into (note: if you need help with factoring, check out this solver)
Combine like terms on the right side
Take the square root of both sides
Add 3 to both sides to isolate x.
So the expression breaks down to
or
So our answer is approximately
or
Here is visual proof
graph of
When we use the root finder feature on a calculator, we would find that the x-intercepts are and , so this verifies our answer.
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