Question

Find the root of the following quadratic equations, if they exist, by the method of completing the square. 4x²+4√3x+3 = 0​

Answer 1

Given:

• A quadratic equⁿ 4x²+4√3x+3=0.

To Find:

• The roots of equⁿ if they exist.

Answer:

Given equation: 4x²+4√3x+3=0

Here , a = 4 , b = 4√3 and c = 3 .

So,

=> Discriminant = b²-4ac .

=> D = (4√3)²-4×4×3.

=> D = 48-48.

=> D = 0.

Hence the roots are equal means the quadratic equation is a whole square.

=> 4x²+4√3x+3=0.

=> (2x)²+2×2×√3+(√3)²=0.

=> (2x+√3)²=0.

using

• (a+b)²=a²+b²+2ab.

=> (2x+√3)(2x+√3)=0.

=> x = -√3/2 ,-√3/2.

Hence the roots are -√3/2,-√3/2 or simply -√3/2.

Answer 2

Answer:

Mainu vi apne besties in brainly ch shamal karlo I am also Punjabi veere

Profile ch