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leonid [27]
3 years ago
15

Find the roots of the parabola given by the following equation. 2x2+ 5x - 9 = 2x

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

Answer:

x=-3 or x=3/2

Step-by-step explanation:

We are given the following equation:

2x^2+5x-9=2x

We are asked to find the roots.  That means just solve it for x.

2x^2+5x-9=2x

Subtract 2x on both sides:

2x^2+3x-9=0

Let's see if we can put this in factored form.

Compare

2x^2+3x-9=0

and

ax^2+bx+c=0.

a=2, b=3 , c=-9

We have to find two numbers that multiply to be ac and add up to be b.

ac=-18

b=3

What are two numbers that multiply to be -18 and add to be 3?

Say -3 and 6.

So we are going to factor 2x^2-3x+6x-9=0

The first two terms have a common factor of x.

The last two terms have a common factor of 3.

2x^2-3x+6x-9=0

x(2x-3)+3(2x-3)=0

Now we can factor the (x-3) out of those 2 terms there since they share that common factor:

(x+3)(2x-3)=0

(x+3)(2x-3)=0 implies x+3=0  or 2x-3=0.

So we must solve x+3=0   and 2x-3=0

x+3=0

Subtract 3 on both sides:

x=-3

2x-3=0

Add 3 on both sides:

2x=3

Divide both sides by 2:

x=3/2

The solutions are x=3 or x=-3/2

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<h3>How to find width of the garden</h3>

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Perimeter = 2(length+ width)

46 = 2{12 + (7 + w)}

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Step-by-step explanation:

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an instructor grades on a curve by assuming that grades on a test are normally distributed. If the average grade is 80 and the s
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Step-by-step explanation:

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14% of people will lie between Mean point and two negative standard deviation

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Now following this principle, we are given that mean score is 80 and standard deviation is 8, hence the interval for grades would be;

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3 years ago
Why is determining food cost percentage important?
Studentka2010 [4]

Answer:

Food cost determines a restaurant's profitability.

Step-by-step explanation:

If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

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Read 2 more answers
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