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Solve for x: x3 + 149x2 - 50545x - 50693 = 0.

ajinkya bhole , 14 Years ago
Grade 10
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Badiuddin askIITians.ismu Expert

Last Activity: 14 Years ago

Dear ajinkya

x3 + 149x2 - 50545x - 50693 = 0

in cubic equation you always try to find one root by insection.

here in this case x=-1 is its root

so (x+1) is its one factor

now devide the equation by (x+1)

s0

x3 + 149x2 - 50545x - 50693=0

(x+1) ( x2 +148x -50693) =0

now solve 

 x2 +148x -50693 =0

 x = { -148 ±√1482 + 4* 50693} /2

x = 163  and - 311

so final solution is

 x = -1, 163, - 311

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Badiuddin



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