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dedylja [7]
2 years ago
8

(2x+3)²=5.find the roots of the equation ​

Mathematics
1 answer:
bija089 [108]2 years ago
4 0

Answer:

-2.61803398875, -0.38196601125

or

(-3±√5)/2

Step-by-step explanation:

First, expand. (2x+3)² = 4x²+12x+9=5

4x²+12x+4 = 0

Quadratic equations take the form ax²+bx+c = 0

In this case,

a = 4

b = 12

c = 4

You can solve with the equation x=(-b±√b²-4ac)/2a

Plug in:

(-12±√144-64)/8

(-12±√80)/8

(-12±√2^4×5)/8

(-12±4√5)/8

(-3±√5)/2

Final answer x = (-3±√5)/2

If you want decimal form: -2.61803398875, -0.38196601125

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<span>The square is equal so all sides have equal sides. Soooo...

s2 (s squared) + s2 = 15 (squared)

15 x 15 = 225

225/2 = 112.5

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3 0
3 years ago
Which best explains why the equation y=2x+3 does or does not represent a proportional relationship?
pav-90 [236]

Answer:

It represents a non-proportional relationship

Step-by-step explanation:

because in order for it to be proportional it has to pass (0,0) but this equation's y-intercept is (0,3).

4 0
3 years ago
Find an equation for the nth term of the arithmetic sequence. <br> -3, -5, -7, -9, ...
tankabanditka [31]

Answer:

a(n) = -3 - 2(n-1)

Step-by-step explanation:

The most general formula for the nth term of an arithmetic sequence (such as this sequence is) is

a(n) = a(1) + c(n-1), where c is the common difference.

Here a(1) = -3 and c = -2.

Thus,

a(n) = -3 - 2(n-1).

7 0
3 years ago
There are 24 hours in a day, At 7 a.m. how many hours are left in the day?
mariarad [96]

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4 0
3 years ago
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What is the equation of the line that passes through point (4, 12) and has a y-intercept of —2?
zmey [24]

Answer:

<h2>y = 3.5x - 2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

<h3>y = mx + b</h3>

m - slope

b - y-intercept

We have y-intercept b = -2. Substitute:

<h3>y = mx - 2</h3>

We have the point (4, 12) → x = 4, y = 12. Put them in the equation:

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14 = 4m       <em>divide both sides by 4</em>

14/4 = m → m = 3.5

5 0
3 years ago
Read 2 more answers
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