Question

Solve by factorising:

3. √3x^2 + 10x + 7√3 = 0

Ans: - √3 , -7/ √3

From Quadratic Equation

Standard:- 10

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Answer 1

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Answer 2

Heya !!!



✓3X² + 10X + 7✓3 = 0



A = Coefficient of X² = ✓3


And,


B = Coefficient of X = 7✓3




Product of these numbers = ✓3 × 7✓3 = 21


We try to split 21 in two parts such that their sum or Subtraction will be 10 and their product will be 21.



Clearly,


7 + 3 = 10


And,



7 × 3 = 21


So,


✓3X² + 10X + 7✓3


=> ✓3X² + ( 7 + 3 )X + 7✓3



=> ✓3X² + 7X + 3X + 7✓3



=> X ( ✓3X + 7 ) + ✓3 ( ✓3X + 7)



=> ( ✓3X + 7 ) ( X + ✓3) = 0



=> ( ✓3X + 7 ) = 0 OR ( X + ✓3) = 0



=> X = -7/✓3 OR X = -✓3


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