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Its a homework question guys, please help me to answer this !!!!!

Answer»

Answer:

- 4√5 or 3√5

Step-by-step explanation:

⇒ X^2 + √5 x - 60 = 0

 Using Splitting middle term

which says split the middle( with x ) in two parts such that their product is the product of constant term and term with x^2.

  Here, we found a satisfying PAIR is 4√5 - 3√5

⇒ x^2 + √5 x - 60 = 0

⇒ x^2 +( 4√5 - 3√5 )x - 60 = 0

⇒ x^2 + 4√5 x - 3√5 x - 60 = 0

⇒ x( x + 4√5 ) - 3√5( x + 4√5 ) = 0

⇒ ( x + 4√5 )( x - 3√5 ) =  0

⇒ x = - 4√5 or x = 3√5

 



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