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find value of k such that 4x 6 -24x 5 +20x 4 +68x 3 -44x 2 -40x+k plzz xplain!!!

find value of k such that


4x6-24x5+20x4+68x3-44x2-40x+k


plzz xplain!!!

Grade:10

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
11 years ago

Dear ajinkya,

Expand the equation: [ax3 + bx2 + cx + d]2---------------------eq. 1

THE FINAL EXPANSION OF THIS equation is :

a2x6+2abx5+(b2+2ac)x4+2(ad+bc)x3+(c2+2bd)x2+2cdx+d2.

Now compare this equation with the corresponding coefficients given equation you will get the following values:

a2 = 4; 2ab = -24; (b2-2ac)= 20; 2(ad+bc)= 68.

therefore you will get the following values:

a=2; b=-6; c= -4; d= 5.

clearly from both the equation its clear that value of k is d2; which is equal to 6.

 

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