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Answer» QUESTION :Find the VALUE (s) of m , when √m + 259 /√m = 44 Answer :⇒ √m + 269 / √m = 44 Substituting √m = X in the above equation ⇒ x + 259 / x = 44 Multiplying every term by x ⇒ x( x ) + ( 259 / x )( x ) = 44x ⇒ x² + 259 = 44x ⇒ x² - 44x + 259 = 0 Splitting the MIDDLE term ⇒ x² - 37x - 7x + 259 = 0 ⇒ x( x - 37 ) - 7( x - 37 ) = 0 ⇒ ( x - 37 )( x - 7 ) = 0 ⇒ x - 37 = 0 or x - 7 = 0 ⇒ x = 37 or x = 7 When x = 37 ⇒ √m = 37 Squaring on both sides ⇒ ( √m )² = 37² ⇒ m = 1369 When x = 7 ⇒ √m = 7 Squaring on both sides ⇒ ( √m )² = 7² ⇒ m = 49 Therefore the value of m is either 1369 or 49. |
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