heebanaz256 heebanaz256
  • 23-09-2020
  • Mathematics
contestada

if α,β are the roots of the equation x^{2}-3x+2=0 form an equation whose roots are (α+β)² & (α-β)²

Respuesta :

Аноним Аноним
  • 23-09-2020

Solution:-

Let's find roots of x² - 3x + 2

=> x² - 3x + 2 = 0.

=> x² - x - 2x + 2 = 0.

=> x ( x - 1 ) -2 ( x - 1) = 0.

=> ( x - 1 ) ( x - 2 ) = 0.

=> x = 2, 1.

Now

  • ( a + ß )² = (2+1)²=3²=9
  • ( a - ß )² = ( 2 - 1 )² = 1² = 1.

So , equⁿ would be ,

=> x² - ( 9 + 1)x + 9×1=0.

=> x² - 10x + 9=0.

Answer Link

Otras preguntas

A bird is 7 feet above the ground what interger would you use to represent the distance that the bird needs to fly to get back to the ground?
What is 75 per cent of a half
Choose the word that correctly completes the analogy. Craving : statue ::erosion: ___ a. Salt b. Dissolve c. Waves d. Cave
Brian has $88 in his savings account. If he saves $3.50 per week, how long will it take him to have $200 in his account?
Could someone help me asap? (photo)
Andy, taylor and ben share their team payment in the ratio 1 : 3 : 4. What percentage of the total does andy receive?
what is eckles like and how do you know? for the story " a sound of thunder"
what was the relationship between Jamestown settlers and the powhatan tribe?A. Different customs led to many disagreements and skirmishes.B. Many coloni
which statement about the american dream would f.scott fitzgerald most likely agree with
I need to know how to solve the problem