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Solve the following quadratic equations (i) x2  + 5x = 0 , (ii) x2  = 3x, (iii) x2 = 4 -

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Question

Solve the following quadratic equations

(i) x2  + 5x = 0         (ii) x2  = 3x          (iii) x2 = 4

Sum

Solution

(i) x2 + 5x = 0 ⇒ x(x + 5) = 0

⇒ x = 0 or x + 5 = 0

⇒ x = 0 or x = – 5

(ii) x2 = 3x

⇒ x2 – 3x = 0

⇒ x(x – 3) = 0

⇒ x = 0 or x = 3

(iii) x2 = 4

⇒ x = ± 2

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