3. Solve (2x+1)²-(3x+2)²=0.
Answers
Answered by
8
Step-by-step explanation:
(a+b)²= a²+b²+2ab
(2x+1)²-(3x²+2)²= 0
(2x+1)²= (3x+2)²
4x²+1 + 4x = 9x²+4+ 12x
5x²+8x+3=0
Factorize the equation.
5x²+5x+3x+3=0
5x(x+1) + 3(x+1)= 0
(x+1)(5x+3)= 0
Therefore ,
x = -1 (or). x = -3/5
Answered by
2
(2x+1) raise to power 2=(3x+2) raise to power 2
On both sides powers are same so they will get cancelled;so
2x+1=3x+2
2x-3x=2-1
-x=1
x=-1
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