Question

a)(x+3)^2-2(x-1)=(x+4)(x-4)-5
b)(x-5) (x+5)-(x-3)^2=x-9



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Answer 1

a)

(x+3)²-2(x-1)=(x+4)(x-4)-5

x²+6x+9-2x+2=x²-16-5

6x+9-2x+2=-16-5

4x+9+2=-16-5

4x+11=-16-5=-21

4x=-21-11=-32

4x:4=-32:4

=>x=-32:4=-8

b)

(x-5)(x+5)-(x-3)²=x-9

x²-25-(x²-6x+9)=x-9

x²-25-x²+6x-9=x-9

x²-25-x²+6x=x

-25+6x=x

6x=x+25

6x-x=25

5x=25

5x:5=25:5

=>x=25:5=5