Giải các phương trình và bất phương trình dưới đây:
a) \(9{{\text{x}}^{2}}+7=(3\text{x}+1)(3\text{x}+3)\) b) \(2{{\text{x}}^{3}}+3{{\text{x}}^{2}}-32\text{x}=48\)
\(c)\ \frac{1}{x+1}-\frac{5}{x-2}=\frac{15}{(x+1)(2-x)}\) \(d)\ \frac{18-5\text{x}}{6}<3\)
A.a) \(S=\left\{ \frac{1}{3} \right\}\)
b) \(S=\left\{ -4;\ \frac{-3}{2};\ 4 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x>0 \right\}.\)
B.a) \(S=\left\{ \frac{2}{3} \right\}\)
b) \(S=\left\{ 3;\ \frac{-3}{2};\ 4 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x>0 \right\}.\)
C.a) \(S=\left\{ \frac{1}{2} \right\}\)
b) \(S=\left\{ -4;\ \frac{-1}{2};\ 4 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x>0 \right\}.\)
D.a) \(S=\left\{ \frac{1}{4} \right\}\)
b) \(S=\left\{ -4;\ \frac{-3}{2};\ 5 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x<0 \right\}.\)
a) \(9{{\text{x}}^{2}}+7=(3\text{x}+1)(3\text{x}+3)\) b) \(2{{\text{x}}^{3}}+3{{\text{x}}^{2}}-32\text{x}=48\)
\(c)\ \frac{1}{x+1}-\frac{5}{x-2}=\frac{15}{(x+1)(2-x)}\) \(d)\ \frac{18-5\text{x}}{6}<3\)
A.a) \(S=\left\{ \frac{1}{3} \right\}\)
b) \(S=\left\{ -4;\ \frac{-3}{2};\ 4 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x>0 \right\}.\)
B.a) \(S=\left\{ \frac{2}{3} \right\}\)
b) \(S=\left\{ 3;\ \frac{-3}{2};\ 4 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x>0 \right\}.\)
C.a) \(S=\left\{ \frac{1}{2} \right\}\)
b) \(S=\left\{ -4;\ \frac{-1}{2};\ 4 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x>0 \right\}.\)
D.a) \(S=\left\{ \frac{1}{4} \right\}\)
b) \(S=\left\{ -4;\ \frac{-3}{2};\ 5 \right\}\)
c) vô nghiệm.
d) \(S=\left\{ x\in R/x<0 \right\}.\)
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