Question

2(x+1)²+3(x-1)² = 5(x-1)(x+1)-4.
ДОПОМОЖІТЬ ПАЖАЛУСТА
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Answer 1

Ответ:

2(x+1)²+3(x-1)²=5(x-1)*(x+1)=4

(a+b)²=a²+2ab+b²

2(x²+2x+1)+3(x-1)²=5(x-1)*(x+1)-4

(a-b)²=a²-2ab+b²

2(x²+2x+1)+3(x²-2x+1)=5(x-1)*(x+1)-4

(a-b)(a+b)=a²-b²(a-b)(a+b)=a²-b²

2(x²+2x+1)+3(x²-2x+1)=5(x²-1)-4

2x²+4x+2+3(x²-2x+1)=5(x²-1)-4

2x²+4x+2+3x²-6x+3=5(x²-1)-4

2x²+4x+2+3x²-6x+3=5x²-5-4

5x²+4x+2-6x+3=5x²-5-4

5x²-2x+2+3=5x²-5-4

5x²-2x+5=5x²-5-4

5x²-2x+5=5x²-9

-2x+5=-9

-2x=-9-5

-2x=-14|:2

x=7