Solve x^2-8x=3 by completing the square. Which is the solution set of the equation
2 answers:
For this case we have the following expression:

We must complete squares.
So:
We divide the middle term between two and we square it:
, then:

We have to, by definition:

Then, rewriting:
(
To find the roots, we apply square root on both sides:

We have two solutions:

Answer:
(
Answer:
{-0.36, 8.36) to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x = 3
(x - 4)^2 - 16 = 3
(x - 4)^2 = 19
Taking square roots:
x - 4 = +/- √19
x = 4 +/- √19
x = {-0.36, 8.36} to nearest 1/100.
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