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Question Number 210362 by MATHEMATICSAM last updated on 08/Aug/24

If the roots of the quadratic equation  (a − b + c)x + (c − b − a)x + 2(b − c) = 0  are real and equal then find (a/(b − c)) .

$$\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{equation} \\ $$$$\left({a}\:−\:{b}\:+\:{c}\right){x}\:+\:\left({c}\:−\:{b}\:−\:{a}\right){x}\:+\:\mathrm{2}\left({b}\:−\:{c}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{are}\:\mathrm{real}\:\mathrm{and}\:\mathrm{equal}\:\mathrm{then}\:\mathrm{find}\:\frac{{a}}{{b}\:−\:{c}}\:. \\ $$

Commented by som(math1967) last updated on 08/Aug/24

not qudratic ,it should be (a−b+c)x^2

$${not}\:{qudratic}\:,{it}\:{should}\:{be}\:\left({a}−{b}+{c}\right){x}^{\mathrm{2}} \\ $$

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