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vichka [17]
3 years ago
11

Please help with this ...Its very urgent..

Mathematics
2 answers:
aleksklad [387]3 years ago
8 0
Sorry if it's a little bit ugly

Ad libitum [116K]3 years ago
6 0

Answer: q²x² - p³x + 3pqx + q = 0

<u>Step-by-step explanation:</u>

Since a and B are the roots of x² - px + q = 0, then x = a and x = B

⇒ (x - a)(x - B) = 0

⇒ x² - ax - Bx + aB = 0

⇒ x² - (a + B)x + aB = 0

Comparing this to the given equation of x² - px + q = 0, we discover that

  • p = a + B
  • q = aB

Next, given the roots for the new equation as x = \dfrac{a}{B^2} \quad\text{and}\quad\ x=\dfrac{B}{a^2}

⇒ \bigg(x - \dfrac{a}{B^2}\bigg)\bigg(x-\dfrac{B}{a^2}\bigg)=0

⇒ (B²x - a)(a²x - B) = 0

⇒ a²B²x² - a³x - B³x + aB = 0

⇒ a²B²x² - (a³ + B³)x + aB = 0

Let's look at each term individually:

1st term: a²B²x² = (aB)²x²   = q²x²  <em>(since q = aB)</em>

2nd term: (a³ + B³)x  <em>cubic formula can be used</em>

<em>       </em>        = [(a + B)(a² - aB + B²)]x

              = [(a + B)(a² + (2aB - 3aB) + B²)]x

              = [(a + B)(<u>a² + 2aB + B²</u> - 3aB)]x

              = [(a + B)(a + B)² - 3aB)]x

              = [(   p   )(  p²     -  3 q      )]x      <em>since p = a + B and q = aB</em>

<em>               </em>= (p³ - 3pq)x       <em>distributed "p" into p² - 3q</em>

              = p³x - 3pqx       <em>distributed "x" into p³ - 3pq</em>

3rd term: aB = q   <em>     since q = aB   </em>

Put it all together:

   q²x² - (p³x - 3pqx) + q = 0

⇒ q²x² - p³x + 3pqx + q = 0

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mr Goodwill [35]

Answer:

Step-by-step explanation: you have to divide 112 by 14

5 0
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How many minutes equal 4.8 days? Enter your answer in the box.
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6 0
3 years ago
Complete the square to solve the equation below.
sasho [114]
Hello there!

x² + x = 7/4
x² + - 7/4 = 0

Now we gonna use the quadratic formula to find x
a= 1
b=1
c = -1.75

x = -b+/-√b² -4ac all of them divide by 2a
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4 0
3 years ago
HLEPPPPPP!!!!!
Ksenya-84 [330]

Answer:

Solutions:-5,0,9,6

Not solutions: 12.5,10

Explanation:

The inequality that was given is:

20 > 5 + 3x

First, group similar terms;

20 - 5 < 3x

15 < 3x

x = 5

Thus, the solutions are:-3.5, 5, 4 3/4, -15

The not solutions are:-10 2/3, 129,

Hope this helps! :)

7 0
3 years ago
PLEASE HELP ME SEE IF MY ANSWERS ARE CORRECT!!!!!!!
Lena [83]
So first one
'how many solutions does 2x-y=-5 and 2x+y=5 have?'
add and get
2x-y-5
plus
2x+y=5

equals
2x+2x+y-y=5-5
4x=0
x=0 always
solve for y
4(0)+y=5
y=5
the solution is (0,5)
only <u>ONE </u>solution






one way is to subsitute
just remember that it is in (x,y) form so
the pont (1,2) means that 1 solution is x=1 and y=2 so subsitute and find that
the first one is the answer you are correct





just look at the graph
the solution is the intersection
it seems to be at a point that is 3 units to the right and -6 units up (6 units down)
so the solution is (3,-6)
yo are corect








subsitution
y=y
therefor
the answe ris (-4,-14) if you did the math correctly











#8 is correct

# 9 is correct




# 10 the answe ris bananas=0.40 pears=0.60


the  last one you got it wrong, remember to check your answer to the graph for commonsense
then answer is (-2,5) and (1,2)
8 0
3 years ago
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