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x² - 4x = -3
x² - 4x + (4/2)² = -3 + (4/2)²
x² - 4x + 4 = -3 + 4
(x - 2)² = 1
x - 2 = ±√1
x - 2 = ± 1
x = 2 ± 1
x = 1 or x = 3
if you are still confused, i want you to follow the related link that explains the concept of completing the square clearly.
If you mean: 11x2-34x+3 = 0 then the solutions are x = 1/11 and x = 3 by completing the square or using the quadratic equation formula
If you aren't dealing with algebra, such as x2+3x+21, then completing the square wont be able to solve the porblem, however if you are using algebra, and you cannot factorise, then completing the square will always work
Completing the square will work when the solutions are irrational. Finding irrational factors is extremely difficult.
By using the quadratic equation formula or by completing the square
Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by several methods including factoring, graphing, using the square roots or the quadratic formula. Completing the square will always work when solving quadratic equations and is a good tool to have. Solving a quadratic equation by completing the square is used in a lot of word problems.I want you to follow the related link that explains the concept of completing the square clearly and gives some examples. that video is from brightstorm.