Matemática
Willian1525
4

40 PONTOS GALERA!!!!! PRECISO DA AJUDA DE VCS É URGENTE TRABALHO PRA ENTREGA AMANHA DIA19/09 11)simplifique as expressões: a)(x-4)²-(x-1)² b)(x+1)²-(x-2)² c)(-x+3)²-2x(4-x) 18)calcule: a(3-1x/2)(3+1x/2) b)(1x/3-1)(1x/3-1) 26)efetue e simplifique: a)x²-(x+10)² b)(3x+5)²-9x² c)(2x-1)²+x(3x-2) d)(1+x)(1-x)-(1+x)² 29)calcle mentalmente o valor de x: a)x+5=7 b)x+12=10 c)x-5=6 d)9x=27 e)x/4=6 f)16x=-32 g)0,7x=1,4 h)-5x=30 i)x/-2=5 j)x/-4=-6 32)observe o exemplo: (x+3)²-24=(x-3)² x²+6x+9-24=x²-6x+9 6x-15=-6x+9 6x+6x=9+15 12x=24 x=2 resolva agora as equações: a)(x+1)²-x²=17 b)x(x+5)=(x+1)²+26 c)(x-4)²=x²-40 d)4(x+2)²=(2x-3)² 44)se(x-y)²=-20, então x·y igual a: a)0 b)-1 c)5 d)10 45)se x+y=11 e x-y=5, então o valor de x²-y²² é: a)10 b)55 c)96 d)110 46)se x-y=7 e xy=60, então o valor da expressão x²+y² é: a)53 b)109 c)169 d)420 47)se x+y=8 e xy=15, qual é o valor de x²+6xy+y²? a)109 b)120 c)124 d)154 POR FAVOR É URGENTISSIMO!!!!!!!!!!!!

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(2) Respostas
soniaguaraciama

11) a)(x-4)²-(x-1)² b)(x+1)²-(x-2)² c)(-x+3)²-2x(4-x) A) (x-4)*(-x-4) [latex] x^{2} -4x-4x+16[/latex] [latex] x^{2} -8x+16[/latex] B) x+1*x+1 [latex] x^{2}+ x+x+1[/latex] [latex] x^{2} +2x+1[/latex] C) (-x+3)²-2x(4-x)   [latex] -x+3*-x+3-8x+ 2x^{2} [/latex]   [latex] x^{2} -3x-3x+9-8x+ 2x^{2} [/latex]   [latex] 3x^{2}-12x+9 [/latex] 18) a(3-1x/2)(3+1x/2) b)(1x/3-1)(1x/3-1)   A) (3-1x/2)*(3+1x/2)     9+3x/2 - 3x/2 + [latex] x^{2} /4[/latex] B) (1x/2) * (1x/2)       x/4 26) a)x²-(x+10)² b)(3x+5)²-9x² c)(2x-1)²+x(3x-2) d)(1+x)(1-x)-(1+x)² A)[latex] x^{2} - x^{2} +10x+10x+100[/latex] 20x+100 B)[latex] 9x^{2} +15x+15x+25[/latex] [latex] 9x^{2}+30x+25 [/latex] [latex] -9x^{2} [/latex] 30x+25 C)[latex] 4x^{2} -2x-2x+1+ 3x^{2}-2x [/latex]  [latex] 7x^{2}-6x+1 [/latex] D)(1+x)(1-x)-(1+x)²    1-x+x-x²-1+x+x+x²     3x 29)a)x+5=7 b)x+12=10 c)x-5=6 d)9x=27 e)x/4=6  f)16x=-32 g)0,7x=1,4 h)-5x=30 i)x/-2=5 j)x/-4=-6 A)x=2 | B)x=-2 | C)x=11 | D)x=3 | E)x=24 | F)x=-48 | G)x=2 | H)x=-6 | I)x=-10 | J)x=24 45) se x+y=11 e x-y=5, então o valor de x²-y²² é: x+y=11 x-y=5 x=11-y 11-y-y=5 -2y=5-11 -2y=-6 (-1) y=6/2 y = 3    x+3=11 x=11-3 x=8 tem muita coisa para responder e to com sono ,e ntao só vou colocar isso por enquanto  

Jailson123

11)  a) [latex](x-4)^2-(x-1)^2=x^2-8x+16-x^2+2x-1=-6x+15=3(-2x+5)[/latex] b) [latex](x+1)^2-(x-2)^2=x^2+2x+1-x^2+4x-4=6x-3=3(2x-1)[/latex] c) [latex](-x+3)^2-2x(4-x)=x^2-6x+9-8x+x^2=2x^2-14x+9[/latex] 18)  a) [latex](3-\frac{x}{2})(3+\frac{x}{2})=3^2-\frac{x^2}{2^2}=9-\frac{x^2}{4}[/latex] b) [latex](\frac{x}{3}-1)(\frac{x}{3}-1)=\dfrac{x^2}{9}-\dfrac{2x}{3}+1[/latex] 26)  a) [latex]x^2-(x+10)^2=x^2-x^2-20x-100=-20x-100[/latex] b) [latex](3x+5)^2-9x^2=9x^2+30x+25-9x^2=30x+25[/latex] c) [latex](2x-1)^2+x(3x-2)=4x^2-4x+1+3x^2-2x=7x^2-6x+1[/latex] d) [latex](1+x)(1-x)-(1+x)^2=1-x^2-1-2x-x^2=-2x^2-2x[/latex] 29) a) [latex]x+5=7[/latex] [latex]x=2[/latex] b) [latex]x+12=10[/latex] [latex]x=-2[/latex] c) [latex]x-5=6[/latex] [latex]x=11[/latex] d) [latex]9x=27[/latex] [latex]x=3[/latex] e) [latex]\dfrac{x}{4}=6[/latex] [latex]x=24[/latex] f) [latex]16x=-32[/latex] [latex]x=-2[/latex] g) [latex]0,7x=1,4[/latex] [latex]x=2[/latex] h) [latex]-5x=30[/latex] [latex]x=-6[/latex] i) [latex]\dfrac{x}{-2}=5[/latex] [latex]x=-10[/latex] j) [latex]\dfrac{x}{-4}=-6[/latex] [latex]x=24[/latex] 32)  a) [latex](x+1)^2-x^2=17[/latex] [latex]x^2+2x+1-x^2=17[/latex] [latex]2x+1=17[/latex] [latex]2x=16[/latex] [latex]x=8[/latex] b) [latex]x(x+5)=(x+1)^2+26[/latex] [latex]x^2+5x=x^2+2x+1+26[/latex] [latex]3x=27[/latex] [latex]x=9[/latex] c) [latex](x-4)^2=x^2-40[/latex] [latex]x^2-8x+16=x^2-40[/latex] [latex]8x=40+16[/latex] [latex]8x=56[/latex] [latex]x=7[/latex] d) [latex]4(x+2)^2=(2x-3)^2[/latex] [latex]4x^2+16x+16=4x^2-12x+9[/latex] [latex]16x+12x=-16+9[/latex] [latex]28x=-7[/latex] [latex]x=\dfrac{-7}{28}[/latex] [latex]x=\dfrac{-1}{4}[/latex] 45) [latex]x+y=11[/latex] e [latex]x-y=5[/latex] [latex](x+y)(x-y)=x^2-y^2=11\cdot5=55[/latex] Letra B 46) [latex]x-y=7[/latex] e [latex]xy=60[/latex]: [latex](x-y)^2=7^2~~\Rightarrow~~x^2+y^2\underbrace{-2xy}_{-2\cdot60}=49~~\Rightarrow~~x^2+y^2=49+120[/latex] [latex]x^2+y^2=169[/latex] Letra C 47) [latex]x+y=8[/latex] e [latex]xy=15[/latex] [latex](x+y)^2=8^2[/latex] [latex]x^2+2xy+y^2=64[/latex] [latex]x^2+y^2+2\cdot15=64[/latex] [latex]x^2+y^2=34[/latex] [latex]6xy=6\cdot15=90[/latex] [latex]x^2+6xy+y^2=34+90=124[/latex] Letra C

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