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If the roots of the equations (b-c) x...

If the roots of the equations
`(b-c) x^(2) + (c-a) x+( a-b) =0 ` are equal , then prove that 2b=a+c

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The correct Answer is:
` c+ a =2b `
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Knowledge Check

  • If the roots of the equation : (b-c)x^(2) + (c-a) x + ( a-b) = 0 are equal, then a,b,c are in :

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    B
    `(a(b-c))/(c(a-b))`
    C
    `(a(b-c))/(b(c-a))`
    D
    `(c(a-b))/(a(b-c))`

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    A
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    B
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    C
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    D
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