Q. 2 E5.0( 2 Votes )

# Find the roots of

(x + 2)(x + 3) = 240

⇒ x(x + 3) + 2(x + 3) = 240

x2 + 2x + 3x + 6 = 240

x2 + 5x – 234 = 0

Now we have to factorize this quadratic equation by perfect square method

Now for forming a perfect square certain steps should be taken

(i) make the first term's coefficient as 1 and apply the formula for third term)

(ii) Take both the squares so formed and apply the formula  a2 - b2 = (a + b) (a - b)

Simplifying we get,

(x – 18) = 0 or (x + 13) = 0

x = 18 or x = – 13 Answer..

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