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natka813 [3]
3 years ago
10

What is an easy way to factor and equation like 2x^2-5x+3, without using the British method?

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:


Step-by-step explanation:

I learned this easy way to complete the sqare in the fastest way possible

First you want to get it to x^2. So the first thing you would do is divide the entire equation by 2 to get 2(x^2 -5/2x +3/2). then you do one half of b or in this case -5/2. That would make -5/4. you would put this into the factor.

2( x -5/4 +    ) ( x -5/4 -      )

Then you square that number (-5/4)

That makes 25/16. you take that number and subtract the last number or the constant, c to make 1/16. now to finish it up you square root that number. the squre root of 1/16 is 1/4. then you put that into the last part of the factor.

2( x -5/4 + 1/4) ( x -5/4 - 1/4)

Then you simplify

(x-1) 2(x-3/2)

(x-1) (2x-3)

now to make sure I am correct, I will re-multiply it out

2x^2 -5x + 3

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kaheart [24]

Tan(angle) = opposite leg/ adjacent leg

Tan(30) = x/22

X = 22 * tan(30 )

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Round as needed

3 0
3 years ago
The sum of 4 consecutive even integers is -12. find the largest integer.
Ipatiy [6.2K]

Answer:

The largest even integer is 0

Step-by-step explanation:

Given as :

The sum of four consecutive even number = - 12

Let The first even number = 2 x

The second even number = (2 x + 2)

The third even number = (2 x + 4)

The fourth even number = (2 x + 6)

<u>According to question</u>

sum of four consecutive even number = - 12

Or, 2 x + (2 x + 2) + (2 x + 4) + (2 x + 6) = - 12

Or, (2 x + 2 x + 2 x + 2 x) + (2 + 4 + 6) = - 12

Or, 8 x + 12 = - 12

Or, 8 x = - 12 - 12

Or, 8 x = - 24

∴  x = \frac{- 24}{8}

i.e  x = - 3

now, putting the value of x

The first even number = 2 × - 3 = - 6

The second even number = (2 × - 3 + 2) = - 6 + 2 = - 4

The third even number = (2 × - 3 + 4) = - 6 + 4 = - 2

The fourth even number = (2 × - 3 + 6) = - 6 + 6 = 0

So, The largest even integer = 0

Hence, The largest even integer is 0  Answer

6 0
3 years ago
Which radian measure is equivalent to −15°? −9π/20 −12/π −20π/9 −π/12
Reika [66]

Answer:

<h3>-π/12</h3>

Step-by-step explanation:

Which radian measure is equivalent to −15°? −9π/20 −12/π −20π/9 −π/12

180 degrees = πrad

-15 degrees = x

Cross multiply

180x = -15π

x = -15π/180

x = -π/12

Hence the value of -15 degrees in radians is -π/12

3 0
3 years ago
Identify the equation of the circle that has its center at (-16,30) and passes through the origin
dangina [55]

Answer:

(x+16)²+(y-30)²=1156

Step-by-step explanation:

We have given:

center at (-16,30). It means h = -16 and k=30

and it passes through the origin (0,0)

Thus the  radius will be distance between (-16,30) and (0,0)

r=√(-16 - 0)²+(30-0)²

r=√256+900

r²=(√1156)²

r²=1156

Now apply standard equation of circle:

(x-h)²+(y-k)² = r²

(x+16)²+(y-30)²=1156

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3 0
3 years ago
6x+3y=12 in slope-intercept form
shepuryov [24]

Answer:

Slope: −2-2

y-intercept: (0,4)

7 0
3 years ago
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