Math, asked by vishalbhardwajp, 5 months ago

If (a-b)x2 +(b-c)x + c-a=0
have equal
roots then show 2a = b+c.​

Answers

Answered by anugrahap68
1

Answer:

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Step-by-step explanation:

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Answered by MrPotter
0

Answer:

given

d = 0 (equal roots)

to prove -- 2a = b+c

proof --

d= 0 (given)

d = (b-c)^2 -4(a-b)(c-a)

0 = b^2 +c^2 -2bc -4ac +4a^2 +4bc - 4 ab

0 = (-2a)^2 +b^2 +c^2 2(-2a)b +2bc +2(-2a)c

by using formula {(a+b+c )^2= a^2+b^2+c^2+2ab +2bc +2ac }

0 = (-2a + b + c )^2

0 = (-2a + b + c )(-2a + b + c )

0 ×(-2a + b + c ). = (-2a + b + c )

0 = -2a + b + c

2a = b+c

hence proved

hope it will help you

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