Mathematics: Solve the equation by completing the square. round to the nearest hundredth if necessary. 4x2 + 8x – 32 = 0

Solve the equation by completing the square. round

Ответ:

jwagner2277

14.03.2022

Mathematics

For this case we must solve the following expression by completing squares:

4x ^ 2 + 8x-32 = 0

We divide between 4 on both sides of the equation:

x ^ 2 + 2x-8 = 0

We add 8 to both sides of the equation:

x ^ 2 + 2x = 8

We divide the middle term between 2 and square, this we add to both sides of the equation:

$x ^ 2 + 2x + (\frac {2} {2}) ^ 2 = 8 + (\frac {2} {2}) ^ 2\\x ^ 2 + 2x + 1 ^ 2 = 8 + 1\\x ^ 2 + 2x + 1 ^ 2 = 9\\(x + 1) ^ 2 = 9$

We apply root to both sides:

$x + 1 =\pm \sqrt {9}$

We have two roots:

$x_ {1} = \sqrt {9} -1 = 3-1 = 2\\x_ {2} = - \sqrt {9} -1 = -3-1 = -4$

$x_ {1} = 2\\x_ {2} = - 4$

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Ответ:

UncleVictor5188

14.03.2022

Mathematics

$4x^2 + 8x - 32 = 0\\x^2+2x-8=0\\x^2+2x+1-9=0\\(x+1)^2=9\\x+1=3 \vee x+1=-3\\x=2 \vee x=-4$

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Ответ:

MyaMya12

16.09.2022

Mathematics

Number of sections in mosaic=100 section

Number of tiles required in each section=31.5 tiles

Total number of tiles required in mosaic

=31.5 × 100

=3150 tiles

5=Tenth place

1=Unit Place

3=Tens Place

As 31.5 has to be multiplied by 100, there is single digit after decimal, so 0, will be placed at right end of number to get correct number of tiles.

Also,

$\rightarrow 31.5 \times 100\\\\=\frac{315}{10}\times 100\\\\=315 \times 10\\\\=3150$

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Solve the equation by completing the square. round to the nearest hundredth if necessary. 4x2 + 8x – 32 = 0

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