Question

factorise :-4√5x² + 17x -3√5
answer:- (x+√5) (4√5x-3)​

Answer 1

Answer:

[ 4x - √5 ] [ -√5x + 3 ]

Step-by-step explanation:

Product : (-4√5) × (-3√5)                        

              [ (-4) × (-3) ] × [ √5 × √5 ]

              (12) × 5

              60

Sum : + 17

Therefore the 2 numbers are 12 and 5

As ,when we multiply them we get 60 as the product and the sum as + 17

Calculation :

-4√5x² + 17x -3√5

-4√5x² + 12x + 5x - 3√5

[-4√5x² + 12x ] + [ 5x - 3√5 ]

4x [ -√5x + 3 ] -√5 [ -√5x + 3 ]

[ 4x - √5 ] [ -√5x + 3 ]

∴ the answer is [ 4x - √5 ] [ -√5x + 3 ]

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