Bonjour;
=49x²-70x+25-2(7x-5)(x+4)
1)
49x² -70 +25 = (7x -5)²
2)
(7x-5) (7x-5) - 2(7x-5)(x+4)
= (7x-5) ( 7x-5 -2x -8)
= (7x-5) ( 5x -13)
3)
(7x-5) ( 5x -13)
équation produit nul
soit
7x-5 = 0
7x= 5
x= 5/7
5x-13= 0
5x = 13
x= 13/5
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Verified answer
Bonjour;
=49x²-70x+25-2(7x-5)(x+4)
1)
49x² -70 +25 = (7x -5)²
2)
(7x-5) (7x-5) - 2(7x-5)(x+4)
= (7x-5) ( 7x-5 -2x -8)
= (7x-5) ( 5x -13)
3)
(7x-5) ( 5x -13)
équation produit nul
soit
7x-5 = 0
7x= 5
x= 5/7
soit
5x-13= 0
5x = 13
x= 13/5