1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
luda_lava [24]
3 years ago
14

Α' β

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0

Answer:

8x² +36x -27=0

Step-by-step explanation:

2x²= 6x +3

Let's rewrite the equation into the form of ax²+bx+c= 0.

2x² -6x -3=0

Thus, a= 2

b= -6

c= -3

Sum of roots= -  \frac{b}{a}

Since your roots are p and q, sum of roots= p +q

p +q= - (\frac{ - 6}{2} )

p +q= 6 ÷2

p +q= 3

Product of roots= \frac{c}{a}

pq= -  \frac{3}{2}

<u>Quadratic equations</u><u>:</u>

x² -(sum of roots)x +(product of roots)= 0

Thus, we have to find the sum and the product of the new roots, p²q and pq².

p +q= 3

pq= -3/2

Product of new roots

= (p²q)(pq²)

= p³q³

= (pq)³

= ( -  \frac{3}{2} )^{3}  \\  =  -  \frac{27}{8}

sum of new roots

= p²q +pq²

= pq(p +q)

= (-3/2)(3)

= -9/2

Thus, the quadratic equation with roots p²q and pq² is

x² -(-9/2)x -27/8 = 0

x ^{2}  +  \frac{9}{2} x -  \frac{27}{8}  = 0

Multiply by 8 throughout:

8 {x}^{2}  + 36x - 27 = 0

You might be interested in
What is the equation of the line with a slope of 3 and passing through the point (1, -3)?
mylen [45]

Step-by-step explanation:

The equation of the line is y = 3x - 6 (D).

7 0
3 years ago
Read 2 more answers
Easy way to remember my 9th multiplication chart
kap26 [50]
If you wanna divide 9's on your fingers, its really easy...
Example: If you wanna do 3x9 you hold up your 10 fingers and put down your fourth finger... it would look like your saying 36, and that is your answer. 
Another example:  If you wanna do 6x9 you hold up your 10 fingers and put down your 7th finger... It would look like you are saying 63 and that is your answer.
I hope this helps, tell me if you have any questions.<span />
8 0
3 years ago
Read 2 more answers
A woman bought 70 Cubes
KatRina [158]

Answer:

56 Sugar cubes

Step-by-step explanation:

75 x .25 = 18.75

75 - 18.75 = 56.25

Round down for the closest answer = 56

8 0
3 years ago
If triangle JKL is classified as isosceles, which statement is true?
iren [92.7K]

Answer:

At least two sides would be congruent.

Step-by-step explanation:

This is because an isosceles triangle has at least two sides that measure the same.

8 0
3 years ago
A positive binary number is even precisely when its last digit is 0. When is a negative 2's complement number even?
Alex

Answer:

A negative 2’s complement number is even precisely when its last digit is 0 as well.

Step-by-step explanation:

Proof part 1: Assume there exists a 2’s complement negative even number which ends with 1. We  can, therefore, express this number as

1 ..... 1  = - (2’s complement of 1 ....1)

         = - (0 ...  1 )

         ≠ even

Since we know precisely that a positive binary number is not even when it ends with a 1. This is  a conflict with our assumption. Our assumption is, therefore, wrong.

Proof part 2: Assume there exists a 2’s complement negative odd number which ends with 0. We  can, therefore, express this number as

1 ..... 0  = - (2’s complement of 1 ....0)

         = - (0 ...  0 )

         = even

Since we know precisely that a positive binary number is even when it ends with a 0. This is a  conflict with our assumption. Our assumption is, therefore, wrong.

4 0
4 years ago
Other questions:
  • 6[5+(14-8) divides by 3]
    6·1 answer
  • What is the area of a cross section that is parallel to face ABCD ?
    6·1 answer
  • Ben paid $900 for a sofa. The price of the sofa Juana purchased was 2/3 the price that Ben paid. How much did Juana pay for her
    8·1 answer
  • Perform the indicated operation. 5/8 + 7/12 1/2 5/24 1 5/24
    7·2 answers
  • 2+3=8<br>4+5=32<br>5+8=60<br>6+7=72<br>7+8=?
    8·1 answer
  • HELP PLEASE I don’t understand
    9·1 answer
  • Please help.........​
    14·1 answer
  • the side of a triangle are in the ratio of 3:8:7. if the perimeter of the triangle is 63 cm, how long is the shorter side?
    6·1 answer
  • Please solve no need for explanation
    14·2 answers
  • Mark all the relative maximum points in the graph.<br> Just need to be sure I’m correct.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!