Answer :
Answer:
x = ⅔ Or x = 2
Explanation:
3x² − 8x + 4 = 0
Factor left side of equation
(3x − 2)(x − 2) = 0
Set factors equal to 0
3x − 2 = 0 or x − 2 = 0
x = ⅔ or x = 2
Quadratic equations are a form of algebraic equations that can or cannot be factorized.
The value of x is 2 and 2/3
Quadratic equations come in the form: ax²+ bx + c = 0
Solution by completing the square for:
3x²− 8x + 4 = 0
a = 3 , a≠1 so we divide through by 3
3x²/3 − 8x/3 +4/3 = 0/3
which gives us
x²− 8x/3 + 4/3 = 0
Subtract 4/3 from both sides
x²− 8x/3 + 4/3 - 4/3 = 0 - 4/3
x² − 8x/3 = −4/3
Take half of the x term and square it and add the result to both sides
x² − 8x/3 + 16/9 = −4/3 + 16/9
Rewrite the perfect square on the left
(x − 4/3)² = −4/3 + 16/9
and combine terms on the right
(x − 4/3)²= 4/9
Take the square root of both sides
x − 4/3 = ±√4/9
Simplify
x − 4/3 = ±2/3
Collect like terms
x = 4/3 ± 2/3
- Solving for x
x = 4/3 + 2/3
x = 6/3
x = 2
Also:
x=4/3 − 2/3
which becomes
x = 2/3
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