Question

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

Answer 1

A)(6x+1)(2x-7)

B)x={-1/6,7/2}

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