Question

Express 45²as sum of two consecutive integers

Answer 1

Answer:

1012 + 1013 = 45²

Answer 2

Answer:

$x + ( x + 1) = {45 }^{2} \\ 2x + 1 = 2025 \\ 2x = 2024 \\ x = 1012 \\ there \: is \: a \: short \: cut \: for \: \\ calculating \: squares \: ending \: with \\ 5 \: ..... \\ for \: example \: if \: it \: is \: 45 \: to \: get \: {45}^{2} \\ multiply \: 4 \: with \: its \: next \: number \\ i.e. \: 4(5) = 20 \: and \: now \: add \: \\ {5}^{2} = 25 \: to \: 20 \: i.e. \: we \: will \: get \: 2025$

Step-by-step explanation:

see above attachment