For what values of m does the graph of y=mx^2-5x-2 have no x-intercepts

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14-03-2018
Mathematics

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For what values of m does the graph of y=mx^2-5x-2 have no x-intercepts

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evgeniylevi evgeniylevi · Answer 1 · 2018-03-14T05:41:25+01:00

evgeniylevi evgeniylevi

14-03-2018

Consider this option:
according the condition the graph mx²-5x-2 have no x-interception.
It means that D<0:
D=25+2*4*m=25+8m<0; ⇒ 8m+25<0; ⇔ m<-25/8; ⇔ m<-3.125.

answer: m∈(-oo;-3.125).

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