3 years ago

What is the missing term in the factorization? 18x2−32=2(3x+?)(3x−4)

Mathematics

1 answer:

Nataly_w [17]3 years ago

5 0

18x^2 - 32 =
2(9x^2 - 16) =
2(3x + 4)(3x - 4) <==
answer is 4

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AleksandrR [38]

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Step-by-step explanation:

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3 years ago

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Which equation is equivalent to <br> X/ +11 = 15

Lady bird [3.3K]

√x + 11=15 x=16
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4 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$