Question

Find the roots of 3x^2 +4√ 3 X + 4 is equal to zero by the completing square method

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

3x^2+4√3x+4=0

Divide by 3 on both sides

3x^2/3+4√3x/3+4/3=0/3

x^2+4√3x+4/3=0

x^2+4√3x=-4√3

x^2+2×1/2×4√3×x=-4/3

x^2+2×2√3×x=-4/3

Add (2√3)x^2 on both sides

x^2+2×2√3×x+(2√3)^2=-4/3+(2√3)^2

(x+2√3)^2=-4/3+4×3

(x+2√3)^2=-4/3+12

(x+2√3)^2=-4+36/3=32/3

(x+2√3)=√32/√3.