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3 years ago

15

Factor completely...................

1 answer:

defon3 years ago

3 0

Answer:

Final answer is A. $9(3x+1)(3x-2)$ .

Step-by-step explanation:

Given expression is $81x^2-27x-18$ .

$81x^2-27x-18$

$=9(9x^2-3x-2)$

We can factor that by splitting middle term into two parts then do grouping as shown below:

$=9(9x^2-6x+3x-2)$

$=9(3x(3x-2)+1(3x-2))$

$=9(3x+1)(3x-2)$

Which correctly matches with choice A. $9(3x+1)(3x-2)$ .

Hence final answer is A. $9(3x+1)(3x-2)$ .

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mylen [45]

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Step-by-step explanation:

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Putting values:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-12)\pm\sqrt{(-12)^2-4(1)(40)}}{2(1)}\\x=\frac{12\pm\sqrt{144-160}}{2}\\x=\frac{12\pm\sqrt{-16}}{2}\\We\,\,know\,\,\sqrt{-1}=i\\ x=\frac{12\pm4i}{2}\\ x=\frac{12+4i}{2}\,\,and\,\, x=\frac{12-4i}{2}\\ x=\frac{4(3+i)}{2}\,\,and\,\, x=\frac{4(3-i)}{2}\\x=2(3+i)\,\,and\,\,x=2(3-i)\\x=6+2i\,\,and\,\,x=6-2i$

So, solving the equation $x^2-12x+40=0$ we get $x=6+2i\,\,and\,\,x=6-2i$

Keywords: Solving quadratic equation

Learn more about Solving quadratic equation at:

#learnwithBrainly

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