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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 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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