Question

Which constant should be added and subtracted to solve the quadratic equation 4²-√√3-5 - 0 by the method of completing the square?​

Answer 1

Answer:

• Which constant should be added and subtracted to solve the quadratic equation 4²-√√3-5 - 0 by the method of completing the square?

Step-by-step explanation:

• Step-by-step explanation:
• you'll want to add/subtract b²/4a. Here, we have a = 4 and b = -√3, so we need to add/subtract 3 / 16.

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Answer 2

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Answer:

         (b)  3/16

Step-by-step explanation:

For ax² + bx + c = 0, to complete the square youl want to add/subtract b²/4a.

Here, we have 4x² - √3x - 5 = 0, so a = 4 and b = -√3.  This means we need to add/subtract 3/16.

Going beyond the question asked...

When you do this, you get...

     4x² - √3x - 5 = 0

⇒  (4x² - √3x + 3/16) - 3/16 - 5 = 0

⇒  (2x - √3 / 4)²  =  3/16 + 5  =  83 / 16

⇒  2x - √3 / 4  =  ±√83 / 4

⇒  2x  =  (√3 ± √83) / 4

⇒   x  =  (√3 ± √83) / 8