Question

which constant should be added and subtracted to solve the quadratic equation 4x² - root 3x - 5 =0 by completing square method​

Answer 1

Answer:

3 / 16

Step-by-step explanation:

If you have a x² + b x + c = 0 and you're completing the square,

you'll want to add/subtract  b²/4a.

Here, we have a = 4 and b = -√3, so we need to add/subtract 3 / 16.

Doing this we get

(4 x² - √3 x + 3/16) - 3/16 - 5 = 0

( 2x - √3 / 4 )² - 3/16 - 5 = 0

and so on

Answer 2

Answer:

3 / 16

Step-by-step explanation:

If you have a x² + b x + c = 0 and you're completing the square,

you'll want to add/subtract  b²/4a.

Here, we have a = 4 and b = -√3, so we need to add/subtract 3 / 16.

Doing this we get

(4 x² - √3 x + 3/16) - 3/16 - 5 = 0

( 2x - √3 / 4 )² - 3/16 - 5 = 0

therefore 3/16 is the answer