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Asked by srprusty | 7th Feb, 2010, 09:40: PM

Expert Answer:

Comparing with,

ax4 + bx3 + cx2 + dx + e = 0

a = 1, b = -6, c = -26, d = 138, e = -35,

Let the roots be x1, x2, x3, x4.

x1 + x2 + x3 + x4 = -b/a

2+3 +2 - 3 + x3 + x4 = 6

x3 + x4 = 2                   ...(1)

Also,

x1x2x3x4 = -35 = e/a

(2+3)(2 - 3)x3x4 = -35

x3x4 = -35

x4 = -35/x3

(1) becomes,

x3 -35/x3 = 2

x32 -2x3 -35 = 0

x3 = 7 and -5,

Hence x4 = -35/7 = -5 and similary 7.

The remaining roots are -5 and 7.

Regards,

Team,

TopperLearning.

 

Answered by  | 8th Feb, 2010, 06:47: AM

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