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If-c-gt-0-and-4a-c-lt-2b-then-ax-2-bx-c-0-has-a-root-in-which-intervals-a-0-2-b-2-3-c-3-4-d-2-0-

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Question Number 12305 by Gaurav3651 last updated on 18/Apr/17
If c>0 and 4a+c<2b,then ax^2 −bx+c=0 has a root in which intervals? (a) (0,2) (b) (2,3) (c) (3,4) (d) (−2,0)
Ifc>0and4a+c<2b,thenax2−bx+c=0hasarootinwhichintervals?(a)(0,2)(b)(2,3)(c)(3,4)(d)(−2,0)
Answered by ajfour last updated on 18/Apr/17
f(0)=c >0 ; f(2)= 4a−2b+c <0 so f(x)= ax^2 −bx+c has a root in (0,2) .
f(0)=c>0;f(2)=4a−2b+c<0sof(x)=ax2−bx+chasarootin(0,2).

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