Turning to Simplest Form
Algebra
Level
2
x^2+(x+1)^2+(x+2)^2+(x+3)^2+(x+4)^2+(x+5)^2=a(bx+c)^2+d
Which of these equations is non equal to:
(a+d)-bc
Note: a, d are in Q(rationals) whereas b, c are in Z(integers).
(d-a)-(b-c)
All are equal to (a+d)-bc
c^b-b^(c-1)
b^c-(a+d)-c
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1 solution
Once you turn the polynomial into simplest form, you get (3/2)(2x+5)+(35/2).
(a+d)-bc=(3/2+35/2)-10=19-10=9
b^c-(a+d)-c=2^5-(19)-5=32-19-5=32-24=8
Thus B isn't equal to (a+d)-bc.