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If 2a+3b+6c = 0, then show that the equa...

If 2a+3b+6c = 0, then show that the equation `a x^2 + bx + c = 0` has atleast one real root between 0 to 1.

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If 2a+3b+6c=0, then show that the equation ax^(2)+bx+c=0 has atleast one real root between 0 to 1.

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he quadratic equation 3ax^(2)+2bx+c=0 has atleast one root between 0 and 1, if

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Let a,b,c be nonzero real numbers such that int_(0)^(1)(1+cos^(8)x)(ax^(2)+bx+c)dx=int_(0)^(2)(1+cos^(8)x)(ax^(2)+bx+c)dx=0 Then show that the equation ax^(2)+bx+c=0 will have one root between 0and 1 and other root between 1 and 2.

CENGAGE-APPLICATION OF DERIVATIVES-Solved Examples And Exercises
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