Mathematics: What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? use u substitution and the quadratic formula to solve. x = 2 x = 8

What is the solution of the equation (x – 5)2 - id5232912332, HappyBeatrice1401

Ответ:

ayoismeisalex

05.01.2022

Mathematics

For this case we have the following equation:

(x - 5) ^ 2 + 3 (x - 5) + 9 = 0

We make the following change of variables:

u = x-5

We have then:

u ^ 2 + 3u + 9 = 0

Then, using the quadratic formula we have:

$u = \frac{-3 +/- \sqrt{3^2 - 4(1)(9)}}{2(1)} \\$

$u = \frac{-3 +/- \sqrt{9 - 36}}{2}$

$u = \frac{-3 +/- \sqrt{-27}}{2}$

$u = \frac{-3 +/- i 3\sqrt{3}}{2}$

Solution 1:

$u = \frac{-3 + i3\sqrt{3}}{2}$

Solution 2:

$u = \frac{-3 - i3\sqrt{3}}{2}$

Finally, returning the change we have:

Solution 1:

$x1=u1+5=\frac{-3+i3\sqrt{3}}{2}+5$

$x1 = \frac{1}{2}(7+i3\sqrt{3})$

Solution 2:

$x2=u2+5=\frac{-3-i3\sqrt{3}}{2}+5$

$x2 = \frac{1}{2}(7-i3\sqrt{3})$

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Ответ:

oofdiegoofdie5562

31.10.2020

Mathematics

Group a, has 5.5.3.7.5=25/5=5 for the mean.group b, has 2,4,4,3,5,4,3=25/7=3.57=4 for the mean.group b, has the lowest mean, because their are 5 numbers for the mean in group a and if you divide it the 25 (that you get from adding all the numbers up for group a) then you will get 5 for the mean.the same goes for group b, if you divide the 25 by the 7 you will get for which makes group b the right answer.hope my answer has you : )

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What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? use u substitution and the quadratic formula to solve. x = 2 x = 8

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