Why the letter T?

Algebra Level 1

$T^2+tx=t^2+Tx$

$T+t=?$

Details and assumptions:

x

t^2+x

tx

T^2+x

3 solutions

Adam Phúc Nguyễn
Aug 28, 2015

$T^2+tx=t^2+Tx$

$\Rightarrow T^2-t^2=Tx-tx$

$\Rightarrow \color{#3D99F6}{(T-t)}(T+t)=x\color{#3D99F6}{(T-t)}$

$\Rightarrow T+t= \boxed{x}$

Shouldn't the problem also state that $T\neq t$ ?

Omkar Kulkarni - 5 years, 9 months ago

Of course.

Adam Phúc Nguyễn - 5 years, 9 months ago

Nelson Mandela
Aug 28, 2015

By rearranging the terms, we get,

${ T }^{ 2 }-{ t }^{ 2 }=(T-t)x$ .

By cancelling T-t, we have , T+t = x.

Rahul Kharbanda
Aug 28, 2015

T^2 + tx = t^2 + Tx T^2 - t^2 = Tx – tx (T+t)(T-t) = x(T-t)