Question

if one of the roots of the quadratic equation 6 x square - X - 2 = 0 is 2 by 3 find the other​

Answer 1

Answer:

QUADRATIC EQUATION :-

6X²-X-2 = 0

ROOTS OR ZEROES :- 2/3 , X

Step-by-step explanation:

ATQ

LET THE ZEROES BE α AND β.

α = 2/3 , β =X

α + β = 1/6

=> 2/3 + β = 1/6

=> β = 1/6 - 2/3

=>β = -1/2

TO CHECK :-

α×β = 2/3 × -1/2 = THAT MUST BE EQUAL TO -1/3

=> αβ = -1/3

HENCE PROVED.

THEREFORE, THE FINAL ANSWER IS -1/2 .