cal1805p8uo38
30.12.2020 •
Mathematics
F=4x-3)²-(2x+4)²
a) factorise l'espression:
b)déduis en les solutions de l'equation: 4x-3)²-(2x+4)²=0
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Ответ:
A)(6x+1)(2x-7)
B)x={-1/6,7/2}
Step-by-step explanation:
A) (4x-3)²-(2x+4)²
(4x-3+2x+4)(4x-3-2x-4) (as a²-b²= (a+b)(a-b) )
(6x+1)(2x-7) (ans)
B) (4x-3)²-(2x+4)²=0
=>(6x+1)(2x-7)=0 (as we have gotten from a that (4x-3)²-(2x+4)² is equal to (6x+1)(2x-7) )
=>6x+1=0
=>2x-7=0
=>6x=-1
Therefore
x=-1/6
=>2x-7=0
=>2x=7
Therefore
x=7/2
Ответ: