Question

Solve x^4-8x^3+14x^2+8x-15 =0 being given that the sum of two is equal to sum of others two roots​

Answer 1

Answer:

As roots are in A.P then let (a−3d),(a−d),(a+d),(a+3d) be the roots of x4−8x3+14x2+8x−15=0

s1=8⇒a=2s4=−15⇒(a2−d2)(a2−9d2)=15⇒(42−d2)(42−9d2)=−15⇒d2=231,1⇒d=±231,±1

For d=±1

A.P is −1,+1,3,5

Step-by-step explanation:

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