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a)......
<=> -5x - 1-\(\frac{1}{2}\)x + \(\frac{1}{3}\) = \(\frac{3}{2}\)x -\(\frac{5}{6}\)
<=> -5x \(-\frac{1}{2}\) x - \(\frac{3}{2}\)x = -\(\frac{5}{6}\) -\(\frac{1}{3}\) + 1
<=> -7x = - \(\frac{1}{6}\)
<=> x = \(\frac{1}{42}\)
b) ..............
<=> 3x - 3/2 + 5x +3 = -x + 1/5
<=> 3x + 5x +x = 1/5 + 3/2 -3
<=> 9x = -13/10
<=> x = -13/90
OK
Tìm x, biết:
3(x+2)(x+5) +5(x+5)(x+10) +7(x+10)(x+17) =x(x+2)(x+17) (x∉−2;−5;−10;−17)
2(x−1)(x−3) +5(x−3)(x−8) +12(x−8)(x−20) −1x−20 =−34 (x∉1;3;8;20)
x+110 +2+111 x+112 =x+113 +x+114
x−1030 +x−1443 +x−595 +x−1488 =0
a/ => (x2 - 5)(x + 5)(x - 5) = 0
=> x2 - 5 = 0 => x2 = 5 => x = \(+-\sqrt{5}\) (loại)
hoặc x + 5 = 0 => x = -5
hoặc x - 5 = 0 => x = 5
Vậy x = 5 ; x = -5
b/ => x + 5 = 0 => x = -5
hoặc 9 + x2 = 0 => x2 = -9 (vô nghiệm)
Vậy x = -5
c/ => x + 3 = 0 => x = -3
hoặc x2 + 1 = 0 => x2 = -1 (vô nghiệm)
Vậy x = -3
d/ => (x + 5)(x + 2)(x - 2) = 0
=> x + 5 = 0 => x = -5
hoặc x + 2 = 0 => x = -2
hoặc x - 2 = 0 => x = 2
Vậy x = -5 ; x = -2; x = 2
a, \(\frac{1}{2}-\frac{3}{5}x=4-\frac{1}{3}x\)
<=> \(\frac{1}{2}-\frac{3}{5}x+\frac{1}{3}x=4\)
<=>\(\frac{1}{2}-x.\left(\frac{3}{5}-\frac{1}{3}\right)=4\)
<=>\(\frac{1}{2}-\frac{4}{15}x=4\)
<=>\(\frac{4}{15}x=\frac{1}{2}-4\)
<=>\(\frac{4}{15}x=\frac{-7}{2}\)
<=> x = \(\frac{-7}{2}:\frac{4}{15}\)
<=> x = \(\frac{-7}{2}.\frac{15}{4}\)
<=> x = \(\frac{-105}{8}\)
b,\(\left(x^2-5\right).x^2=0\)
<=> \(x^2-5=0:x^2\)
<=>\(x^2-5=0\)
<=> \(x^2=5\)
<=> x = 5:x
c, 2 . I x - \(\frac{1}{2}\)I = \(\frac{-1}{3}+5\frac{1}{3}\)
<=>2 . I x - \(\frac{1}{2}\)I = \(\frac{-1}{3}+\frac{5}{3}\)
<=>2 . I x - \(\frac{1}{2}\)I = \(\frac{4}{3}\)
<=> I x - \(\frac{1}{2}\)I = \(\frac{4}{3}:2\)
<=> I x - \(\frac{1}{2}\)I = \(\frac{4}{3}.\frac{1}{2}\)
<=> I x - \(\frac{1}{2}\)I = \(\frac{2}{3}\)
=> x - \(\frac{1}{2}\)= \(\frac{2}{3}\)hoặc x - \(\frac{1}{2}\)= \(\frac{-2}{3}\)
TH1: x -\(\frac{1}{2}\) = \(\frac{2}{3}\)
<=> x = \(\frac{2}{3}\)+ \(\frac{1}{2}\)
<=> x = \(\frac{7}{6}\)
TH2: x - \(\frac{1}{2}\)= \(\frac{-2}{3}\)
<=> x = \(\frac{-2}{3}\)+ \(\frac{1}{2}\)
<=> x = \(\frac{-1}{6}\)
d) I 2x - 3 I - x = 6
=> 2x - 3 - x = 6 hoặc 2x - 3 - x = - 6
TH1:2x - 3 - x = 6
<=> x - 3 = 6
<=> x = 6 + 3
<=> x = 9
TH2: 2x - 3 - x = - 6
<=> x - 3 = -6
<=> x = - 6 + 3
<=> x = - 3
+ I 2x - 3 I
5x + 1 + 5x + 2 = 150
⇒ 5x . ( 51 + 52 ) = 150
⇒ 5x . 30 = 150
⇒ 5x = 150 : 30 = 5 = 51
Vậy x = 1