5a^2 40a+75=0 ⇒ a^2 8a+15=0 ⇒ a^2 5a 3a+15=0 ⇒ a(a 5) 3(a 5)=0 ⇒ (a 3)(a 5)=0 ⇒ a=3 or 5 . ...

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Algebraic Identities

5a2-40a+75=0 ...

Question

$5 a^{2} - 40 a + 75 = 0$ find a.

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Solution

$5 a^{2} - 40 a + 75 = 0$
$\Rightarrow a^{2} - 8 a + 15 = 0$
$\Rightarrow a^{2} - 5 a - 3 a + 15 = 0$
$\Rightarrow a (a - 5) - 3 (a - 5) = 0$
$\Rightarrow (a - 3) (a - 5) = 0$
$\Rightarrow a = 3$ or $5$ .

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