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ajinkya bhole Grade: 10
        

find value of k such that


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


plzz xplain!!!

7 years ago

Answers : (1)

Aditi Chauhan
askIITians Faculty
396 Points
										

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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thanks and regards.


Akhilesh Shukla









7 years ago
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