Question

x^2-6x+8 find α/β+β/α

Answer 1

HI USER ✌

HERE'S YOUR ANSWER ⤵⤵⤵⤵⤵

X^2-6X+8

SO,

ALPHA+BETA=-b/a=+6

ALPHA*BETA=c/a=+8

now,

alpha/beta+beta/alpha

LCM=ALPHA*BETA

SO,

ALPHA^2+BETA^2/ALPHA*BETA

USING IDENTITY

WE GET,

(ALPHA+BETA)^2-2ALPHA*BETA/ALPHA*BETA

NOW PUTTING UP THE VALUE ✌

↪(6)^2-2*8/8

↪36-16/8

↪20/8

↪5/2(cuts from the table of 4)

so,

5/2 is the answer

THANKS ☺

Answer 2

Solve by using quadratic equation method :x^2+(a+b) x+ab