Question

What is the capital of Africa??​

Answer 1

$\huge\colorbox{yellow}{αηѕωєя࿐ ❤}$

For example, Cairo, the largest city in Africa, has a population of about 9.1 million people, but more than 20 million people live in its metropolitan area.

Answer 2

THANK FOR FREEE POIMTS

Explanation:

Explanation:

Let's consider that two consecutive positive integers are x & (x + 1).

\begin{gathered}\begin{gathered}{\underline{\sf{\bigstar\: According \ to \ the \ given \ Question :}}}\\ \\\end{gathered}\end{gathered}

★According to the given Question:

\begin{gathered}\begin{gathered}:\implies\sf x^2 + \Big(x + 1 \Big)^2 = 365 \\\\\\:\implies\sf x^2 + x^2 + 1 + 2x = 365 \\\\\\:\implies\sf 2x^2 + 2x^2 = 365 - 1 \\\\\\:\implies\sf 2x^2 + 2x- 364 = 0 \qquad \bigg\lgroup\sf Taking \ 2 \ common \bigg\rgroup\\\\\\:\implies\sf x^2 + x - 182 = 0 \\\\\\\qquad\qquad\underline{\sf{\purple{\: Using \ splitting \ the \ Middle \ term \ method \ :}}}\\\\\\:\implies\sf x^2 + 14 x - 13x - 182 = 0\\\\\\:\implies\sf x( x + 14) - 13(x + 14) = 0\\\\\\:\implies\sf\pink{(x - 13) (x + 14) = 0}\\\\\\:\implies\sf x - 13 = 0 \\\\\\:\implies\boxed{\rm{\blue{\: x = 13}}} \\\\\\:\implies\sf x + 14 = 0 \\\\\\:\implies\boxed{\rm{\blue{\: x = -14}}}\end{gathered}\end{gathered}

:⟹x

2

+(x+1)

2

=365

:⟹x

2

+x

2

+1+2x=365

:⟹2x

2

+2x

2

=365−1

:⟹2x

2

+2x−364=0

⎩

⎪

⎪

⎪

⎧

Taking 2 common

⎭

⎪

⎪

⎪

⎫

:⟹x

2

+x−182=0

Using splitting the Middle term method :

:⟹x

2

+14x−13x−182=0

:⟹x(x+14)−13(x+14)=0

:⟹(x−13)(x+14)=0

:⟹x−13=0

:⟹

x=13

:⟹x+14=0

:⟹

x=−14

\bigstar★ Finding numbers★★Findingnumbers

First number (x) = 13

Second number (13 + 1) = 14[/tex]

⠀⠀⠀

\begin{gathered}\begin{gathered}\therefore\underline{\textsf{Two positive consecutive numbers are \textbf{13 \& 14}}}. \\ \end{gathered}\end{gathered}

∴

Two positive consecutive numbers are 13 & 14

.