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Question Number 66226 by Rio Michael last updated on 11/Aug/19

the equation  f(x)=0 has real roots in   the interval (a, b) if  A    −f(a)>0  and f(b) >0  B   f(a) <0 and f(b) <0  C  −f(a) >0  and f(b) =0  D  f(a) >0  and f(b) < 0

$${the}\:{equation}\:\:{f}\left({x}\right)=\mathrm{0}\:{has}\:{real}\:{roots}\:{in}\: \\ $$ $${the}\:{interval}\:\left({a},\:{b}\right)\:{if} \\ $$ $${A}\:\:\:\:−{f}\left({a}\right)>\mathrm{0}\:\:{and}\:{f}\left({b}\right)\:>\mathrm{0} \\ $$ $${B}\:\:\:{f}\left({a}\right)\:<\mathrm{0}\:{and}\:{f}\left({b}\right)\:<\mathrm{0} \\ $$ $${C}\:\:−{f}\left({a}\right)\:>\mathrm{0}\:\:{and}\:{f}\left({b}\right)\:=\mathrm{0} \\ $$ $${D}\:\:{f}\left({a}\right)\:>\mathrm{0}\:\:{and}\:{f}\left({b}\right)\:<\:\mathrm{0} \\ $$

Commented byPrithwish sen last updated on 11/Aug/19

A and D

$$\mathrm{A}\:\mathrm{and}\:\mathrm{D} \\ $$

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