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Jet001 [13]
2 years ago
5

If using the method of completing the square to solve the quadratic equation x2 + 3x - 17 = 0, which number would have to be add

ed to complete the
square"?
Mathematics
1 answer:
MatroZZZ [7]2 years ago
8 0

Answer:

Step-by-step explanation:

To solve using completing square, we need to write the equation as x2+3x=17.

The next step is to add a number such that the square can be completed. The number must be equal to (b/2a)^2, so here it will be (3/2)^2 = 9/4

The equation then becomes x2+3x+(9/4)=17+(9/4).

Solving it further will get you the final answer

You might be interested in
It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada
Mashcka [7]
<h2>Hello!</h2>

The answer is:

The distance to over by Adam to get to the park is 108 miles.

<h2>Why?</h2>

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

time=4hours

Distance=v*4hours

For the second equation we have: Travel back from Disnery Park

time=4hours-2.5hours=1.5hours

Speed=v+45mph

Distance=(v+45mph)*1.5hours

Then, if Adam covered the same distance going and coming back, we have:

v*4hours=(v+45mph)*1.5hours

v*4hours=v*1.5hours+45mph*1.5hours

v*4hours-v*1.5hours=45mph*1.5hours

v*2.5hours=67.5miles

v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

Distance=(v+45mph)*1.5hours

Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

8 0
3 years ago
Which option below best describes the polynomial 4x3 + 3x2 - 1 ?
agasfer [191]
The answer is 17
4x3=12
3x2=6
12+6=18
18-1=17
8 0
3 years ago
Help please. this is a test. i need help with number #10
11111nata11111 [884]

Answer:

Step-by-step explanation:

10: B

11: A

7 0
3 years ago
The product of any two positive integer is a positive integer​
Arte-miy333 [17]

Answer:

True

Step-by-step explanation:

When multiplying two positives together the product is also positive

6 0
3 years ago
Y2 +4y+1<br> ; y = -2 .<br> y2-1
morpeh [17]

Step-by-step explanation:

y2+4y+1=0. where, y=-2

(-2)2+4(-2)+1

-4-8+1=0

-12+1=0

-11=0

5 0
3 years ago
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