20132865427 20132865427

03-02-2022
Mathematics

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For what values of x does the following hold true: (4x+7)^2=(7x+4)^2

Respuesta :

ollived07 ollived07

07-02-2022

Answer:

x=1,x=-1

Step-by-step explanation:

(4x+7)^2=(7x+4)^2

16x^2+56x+90=49x^2+56x+16

16x^2+56x+49-49=49x^2+56x+16-49

16x^2+56x=49x^2+56x-33

16x^2+56x-56x=49x^2+56x-33-56x

16x^2=49x^2-33

16x^2-49x^2=49x^2-33-49x^2

-33x^2=-33

x^2=1

x=1,-1

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