Question

Resolver:

5x-(x-2)²=7x-x²+6

Answer 1

5x-(x-2)² = 7x-x²+6

5x-(x²-4x+4) = 7x-x²+6

5x-x²+4x-4 = 7x-x²+6

se cancelan -x²

5x+4x-4 = 7x+6

9x-4 = 7x+6

9x-7x = 6+4

2x = 10

x = 5

Answer 2

5x-(x²+4-2(x)2))=7x-x²+6
5x-(x²+4-4x)=7x-x²+6
5x-x²-4+4x=7x-x²+6
9x-x²-4-6-7x+x²=0
2x-10=0
2x=10
x=10/2
x=5
COMPROBAMOS
5(5)-(5-2)²=7(5)-5²+6
25-9=35-25+6
16=10+6
16=16