Please solve this need it immediately by complete squaring
4x^2 +4root3 x + 3 =0
1st step is divide equation by 4
Please solve
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Deekshii1:
Thanks a lot sir ...
A small doubt sir why only root 3/2
you cant make perfect square without this...
Sir how can we find with what we have to do
This is one of the step to make a perfect square...
To make perfect square , follow these steps => ( 1 ) First check whether a coeffiecient of xSquare is One or not...Coefficient of xSquare must be 1 if not make it by dividing the whole equation the coefficient of xSquare other than one as we did in the problem...
Ok
Thq sir
( 2 ) Now Find out the coefficient of x , Once you find out the coefficient do following things : 1 - Make Half of the coeffiecient ( in our example root 3 was the coeffiecient of x so make half of it i.e, Root3 / 2 2 -Now make Square of it ( ( Root3 / 2 ) Square 3 - then lastly add these on both sides as we did in the problem
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Answer:
x = -(√3/2)
Step-by-step explanation:
Given Equation is 4x² + 4√3x + 3 = 0.
(i) Get the coefficient of the squared term to be 1.
⇒ (4x²/4) + (4√3x/4) + (3/4) = 0
⇒ x² + √3x + (3/4) = 0
(ii) Add the square of half of the coefficient of x on both sides.
⇒ x² + √3x + (3/4) + (√3/2)² = 0 + (√3/2)²
⇒ x² + √3x + (3/4) + 3/4 = 3/4
⇒ (x + √3/2)² + (3/4) = (3/4)
⇒ (x + √3/2)² = (3/4) - (3/4)
⇒ (x + √3/2)² = 0
⇒ (x + √3/2) = 0
⇒ x = -√3/2
Therefore, x = -(√3/2).
Hope it helps!
Thq a lot anna...
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