a.{-3,-4/3}
b.{-3,4/3}
c.{-3,3/4}
d.{-4/3,3}
e.{3/4,3}
Jawaban:
ini yaaa semoga membantu
[tex] \mathbb{ \color{aqua}{ \underbrace{JAWABAN}}}[/tex]
[tex] \bf{b. \: } \boxed{ \bf{ \: \left \{ - 3 \: , \: { \small{ \frac{4}{3}}}\right \} \: }}[/tex]
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[tex] \mathbb{ \color{orange}{ \underbrace{PENYELESAIAN}}}[/tex]
[tex] \boxed{ \: \begin{aligned} \tt{3 {x}^{2} + 5x} &= \tt{12} \\ \tt{3 {x}^{2} + 5x - 12} &= \tt{0} \end{aligned} \: } \\ \\ [/tex]
[tex] \boxed{ \: \begin{aligned} \tt{a} &= \tt{3} \\ \tt{b} &= \tt{5} \\ \tt{c} &= \tt{ - 12} \end{aligned} \: } \\ \\ [/tex]
[tex] \boxed{ \: \begin{aligned} \tt{x} &= \tt{ \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} } \\ \tt{x} &= \tt{ \frac{ - (5) \pm \sqrt{ {(5)}^{2} - 4(3)( - 12)} }{2(3)} } \\ \tt{x} &= \tt{ \frac{ - 5 \pm \sqrt{25 + 144} }{6} } \\ \tt{x} &= \tt{ \frac{ - 5 \pm \sqrt{169}}{6} } \\ \tt{x} &= \tt{ \frac{ - 5 \pm \sqrt{ {13}^{2} } }{6} } \\ \tt{x} &= \tt{ \frac{ - 5 \pm 13}{6} }\end{aligned} \: } \\ \\ [/tex]
- nilai x
[tex] \boxed{ \: \begin{array}{c|c} \begin{aligned} \tt{x_{1}} &= \tt{ \frac{ - 5 - 13}{6} } \\ \tt{x_{1}} &= \tt{ \frac{ - 18}{6} } \\ \tt{x_{1}} &= \red{ \boxed{ \bf{ \green{ - 3}}}} \end{aligned}& \begin{aligned} \tt{x_{2}} &= \tt{ \frac{ - 5 + 13}{6} } \\ \tt{x_{2}} &= \tt{ \frac{8}{6} } \\ \tt{x_{2}} &= \red{ \boxed{ \bf{ \green{ \frac{4}{3} }}}} \end{aligned} \end{array} \: }\\\\[/tex]
- himpunan penyelesaian
[tex] \boxed{ \bf{HP = \left \{ - 3 \: , \: {\small{ \frac{4}{3} }} \right \}}}[/tex]
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[tex]\mathbb{ \color{red}{ \underbrace{KESIMPULAN}}}[/tex]
Jadi, nilai x yang memenuhi adalah -3 dan 4/3
[tex] \colorbox{ff0000}{} \colorbox{ff4000}{}\colorbox{ff8000}{}\colorbox{ffc000}{}\colorbox{ffff00}{}\colorbox{c0ff00}{}\colorbox{80ff00}{}\colorbox{40ff00}{}\colorbox{00ff00}{}\colorbox{00ff40}{}\colorbox{00ff80}{}\colorbox{00ffc0}{}\colorbox{00ffff}{}\colorbox{00c0ff}{}\colorbox{0080ff}{}\colorbox{0040ff}{}\colorbox{0000ff}{}\colorbox{4000ff}{}\colorbox{8000ff}{}\colorbox{c000ff}{}\colorbox{ff00ff}{}\colorbox{ff00c0}{}\colorbox{ff00a0}{}\colorbox{ff0080}{}\colorbox{ff0040}{} [/tex]
[answer.2.content]
