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a) \(3\left(x+1\right)^2-35=-8\)
\(\Leftrightarrow6\left(x+1\right)-35=-8\)
\(\Leftrightarrow6\left(x+1\right)=-8+35\)
\(\Leftrightarrow6\left(x+1\right)=27\)
\(\Leftrightarrow x+1=\frac{27}{6}\)
\(\Leftrightarrow x+1=\frac{9}{2}\)
\(\Leftrightarrow x=\frac{9}{2}-1\)
\(\Rightarrow x=\frac{7}{2}\)
b) \(2x^2-1=49\)
\(\Leftrightarrow2x^2=50\)
\(\Leftrightarrow x^2=50:2\)
\(\Leftrightarrow x^2=25\)
\(\Leftrightarrow x=25:2\)
\(\Rightarrow\orbr{\begin{cases}x=5\\x=-5\end{cases}}\)
a,3(x+1)2-35=-8 b,2x2-1=49
3(x+1)2=-8+35 2x2=49+1
3(x+1)2=27 2x2=50
(x+1)2=27*3 x2 =50/2
(x+1)2=9 x2 =25
(x+1)2=32 x2=52
=>x+1=3 =>x=5
=>x=3-1 KL x=5
=>x=2
KL x=2
kick mk nha
thank
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x1+x2+x3+x4+...x49+x50+x51=.
\(\Rightarrow\)(x1+x2)+(x3+x4)+...+(x49+x50)+x51=0
Theo de bai ta co:\(\Rightarrow\)1+1+...+1+x51=0
\(\Rightarrow\)1*25+x51=0
\(\Rightarrow\)x51=-25
Ma x60+x51=0\(\Rightarrow\)-50+(-25)=1\(\Rightarrow\)x50=26
Nho tich nha
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1x2x3+2x3x4+3x4x5+4x5x6+5x6x7+6x7x8+7x8x9+8x9x10+9x10x11+10x11x12+11x12x13+12x13x14+13x14x15+14x15x16+15x16x17+16x17x18+17x18x19+18x19x20+19x20x21+20x21x22+21x22x23+22x23x24+23x24x25+24x25x26+25x26x27x26x27x28+27x28x29+28x29x30+29x30x31+30x31x32+31x32x33+32x33x34+33x34x35+34x35x36+35x36x37+36x37x38+37x38x39+38x39x40+39x40x41+40x41x42+41x42x43+42x43x44+43x44x45+44x45x46+45x46x47+46x47x48+47x48x49+48x49x50+49x50x51=n
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(50-1):1+1=50 số
=(50-49)+(48-47)+...+(4-3)+(2-1). Ta có 25 cặp số
=1+1+1+....+1
=1.25
=25
kết quả là:
49x50x51=124950
1 x 2 + 2 x 3 + 3 x 4 + ....... + 49 x 50
= 3 x 1 x 2 + 3 x 2 x 3 + 3 x 3 x 4 + ....... + 3 x 49 x 50
= ( 3 - 0 ) x 1 x 2 + ( 4 - 1 ) x 2 x 3 + ( 5 - 2 ) x 3 x 4 + ....... + ( 51 - 48 ) x 49 x 50
= ( 3 x 1 x 2 ) - ( 0 x 1 x 2 ) + ( 2 x 3 x 4 ) - ( 1 x 2 x 3 ) + ( 3 x 4 x 5 ) - ( 2 x 3 x 4 ) + .... + ( 51 x 49 x 50 ) - ( 49 x 50 x 48 )
= - ( 0 x 1 x 2 ) + ( 51 x 50 x 49 )
= 49 x 50 x 51
= 124950