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

hi all i really need help this is multiple choice
I need help on #10&12
PLease help!!!!!!!!!!!!!!!!!!!!!!1
Do you guys know the domain and range to this?
IF ITS 2:27 PM WHAT WILL IT BE IN 55 MIN
A cubic meter of water has a mass of 10 kilograms. How much water is this in grams?
An item that stands for more in a story than it usually does elsewhere is an example of A. plot. B. conflict. C. symbolism. (Correct Answer) D. character.
Can someone help me answer this question
Solve the system of linear equations by substitution. x=2y+7x=2y+7 3x−2y=3
40 POINTS why should john quincy adams have been reelected in 1828 instead of andrew jackson Thanks! If you'd like you can write about andrew inste