plis pomocy zadanie 19 cale na jutro pomocy
plis pomocy zadanie 19 cale na jutro pomocy
[latex]a)\\(x-3)(x+3)+10 =(x-2)^2+x \\x^2-9+10=x^2-4x+4+x\\x^2- x^2+4x-x= 4 +9-10\\3x=3 / :3\\x=1[/latex] [latex]b)\\(2x+3)^2+1=4(x-2)(x+2)-5x-8\\4x^2+12x+9+ 1=4(x^2-4) -5x-8\\4x^2+12x+9+ 1=4 x^2-16-5x-8\\4x^2+12x-4 x^2+5x=-16-8-9- 1\\17x=-34 /:17\\x=-2[/latex] [latex]c)\\(2x-1)(2x+1)+6=4(x-4)^2+3x \\4x^2-1 +6=4(x^2-8x+16) +3x \\4x^2-1 +6=4 x^2-32x+64 +3x\\4x^2-4 x^2+32x-3x= 64 +1 -6\\29x=59 /:29\\x=frac{59}{29}\\x=2frac{1}{29}[/latex] [latex]d)\\(4x+3)^2+10=(4x-1)(4x+1)+4x \\16x^2+24x+9+10=16x^2-1 +4x \\16x^2+24x-16x^2-4x=-1 -9-10\\ 20x=-20 /:20\\x=-1[/latex]