Question

if a and b are the roots of the equation 2x²-6x-8=0 , find the value of : a^2 - b^2 .

Answer 1

is that suppose to be
2x²-6x-8=0

Answer 2

yes, typo :)

Answer 3

A²-B²= -5 ?? @amorfide

Answer 4

A²-B²= -17 ?

Answer 5

oops wait i got mixed up

ignore that i will do your solution now




A and b are roots of this equation

2x²-6x-8=0

A+B=-b/a

A+B=6/2
A+B=3

AB=c/a

AB=-8/2
AB=-4


A²-B²=(A-B)(A+B)

(A-B)²=(A+B)²-4AB=3²-4(-4)=9+16=25

so
A-B=square root of 25
A-B= plus or minus 5

A²-B²=(A+B)(A-B)=3(5)
or
A²-B²=(A+B)(A-B)=3(-5)

A-b= 15 or -15

Answer 6

the final asnwer for a = 15 and b = -15 @amorfide

Answer 7

A²-B²=15 or -15

Answer 8

thank you so much @amorfide question solved :)