Solving a quadratic equation by completing the square: Exact... Solve the quadratic equation by completing the...

Question

Question

math algebra

Answer 1

Answer #1

Answer 2

Answer #2

SOLUTION

x^2 + 12x + 33 = 0

x^2 + 12x + 36 = (x + 6)^2

=> x^2 + 12x = (x + 6)^2 - 36

So,

Given expression

= (x + 6)^2 - 36 + 33 = 0

= (x + 6)^2 = 3

=> x + 6 = +/- √3

=> x = - 6 - √3 , - 6 + √3. (ANSWER).

answered by: Tulsiram Garg

Answer 3

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