Answer :
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: \{ 0,4 \}[/tex]
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[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: - {a}^{2} + 4a = 0[/tex]
[tex]\qquad \tt \rightarrow \: - ( {a}^{2} - 4a) = 0[/tex]
[tex]\qquad \tt \rightarrow \: {a}^{2} - 4a = 0[/tex]
[tex]\qquad \tt \rightarrow \:a(a - 4) = 0[/tex]
The two cases are :
- a = 0
or
- a -4 = 0, that leads to a = 4
We can conclude :
[tex]\qquad \tt \rightarrow \:solution \: (a) = \{ 0,4\}[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
[tex] \quad \quad \quad \quad\huge \tt \pink ❆ AnSweR \pink ❆[/tex]
[tex]\quad\quad \tt-a^2+4a= 0[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \quad\quad\tt⇢-1(a^2 - 4a) = 0[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\quad\quad\tt⇢-1(a-4)a = 0[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\quad\quad\tt⇢a-4=0[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\quad\quad\tt⇢a = 0[/tex]
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[tex] \boxed{ \tt \blue{a = 0}}[/tex]
[tex]\boxed{ \tt\blue{a = 4}}[/tex]