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Grade 12Differential Calculus

The no. of roots of ( equation in image) in [0,1] are ?
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Drake

11 Years agoGrade 12

1 Answer

Jitender Singh

Approved Tutor Answer11 Years ago

Ans:
Hello Student,
Please find answer to your question below,

$f(x) = x^{3}-3x+1$
$f(0) = (0)^{3}-3.(0)+1$
$f(0) = 1$
$f(1) = (1)^{3}-3(1)+1$
$f(1) = 1$
So there is an atleast one root lie between 0 and 1.
$x^3-3x+1=0$
$x = .3473, 1.53209, -1.879$

So there is only one root .3473 between 0 and 1.

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