p-x-p-x-1-2x-4-p-x-

Question Number 177856 by mathlove last updated on 10/Oct/22

p (x) + p (x - 1) = 2 x + 4

p (x) = ?

Answered by blackmamba last updated on 10/Oct/22

p (x) = a x + b

p (x - 1) = a (x - 1) + b = a x + b - a

\Rightarrow p (x) + p (x - 1) = 2 a x + 2 b - a = 2 x + 4

{\begin{cases} 2 a = 2 \Rightarrow a = 1 \\ 2 b - 2 = 4 \Rightarrow b = 3 \end{cases}

∴ p (x) = 2 x + 3

Commented by mathlove last updated on 10/Oct/22

t h a n k s

Commented by Tinku Tara last updated on 10/Oct/22

Small caculation error . pls check

a = 1

2 b - a = 4 \Rightarrow b = 2.5

p (x) = 2 x + 2.5