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2 years ago

9x² - 12x + 4 pls need ans.

Mathematics

1 answer:

kolezko [41]2 years ago

4 0

Step-by-step explanation:

$\tt{9 {x}^{2} - 12x + 4}$

Here, the second order of polynomial ax² + bx + c is factorized and expressed as the product of two linear factors. First, we have to find the two numbers that adds to 12 and if we multiply those numbers , we get 36 ( The two numbers should be 6 and 6 ).

⟶ $\tt{9 {x}^{2} - (6 + 6)x + 4}$

⟶ $\tt{9 {x}^{2} - 6x - 6x + 4}$ { Distribute x through the parentheses )

⟶ $\tt{ \underbrace{9 {x}^{2} - 6x}} \: - \underbrace{6x + 4}$

⟶ $\tt{3x(3x - 2) - 2(3x - 2)}$

⟶ $\tt{(3x - 2)(3x - 2)}$

⟶ $\tt{ {(3x - 2)}^{2} }$

$\pink{ \boxed{ \boxed{ \tt{ Our \: final \: answer : \boxed{ \underline{ \tt{{(3x - 2)}^{2} }}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

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$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

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2 years ago

9x² - 12x + 4 pls need ans.​

9x² - 12x + 4 pls need ans.