Question

solve the equation
3x²+8x+4=0​

Answer 1

Answer:

x= -2 OR x= -2/3

Step-by-step explanation:

3x²+8x+4=0​

Comparing this with the standard quadratic equation, ax²+bx+c=0, we get a=3, b=8 and c=4.

Now, we have to find 2 factors of a×c or 3 × 4, that is 12, which add up to 8.

Reason for this is a=3, c=4. And since c is positive, we have to add them to get b, which here is 8.

For this, possible factors of 12 are 6 and 2.

∴ 3x²+6x+2x+4=0​  ......................splitting the middle term as 6 × 2

3x(x+2) + 2(x+2)=0

(x+2)(3x+2)=0

∴ Either (x+2)=0 OR (3x+2)

∴ Either x=-2 OR x=-2/3