155,731 views
16 votes
16 votes
For what values of x does the following hold true: (4x+7)^2=(7x+4)^2

User Touinta
by
3.3k points

1 Answer

21 votes
21 votes

Answer:

x=1,x=-1

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

User Adruzh
by
2.4k points