Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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

Sagot :

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