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insens350 [35]
3 years ago
8

3x^2 + 2x-4 = 0 help

Mathematics
2 answers:
igomit [66]3 years ago
5 0

Answer:

I dont know

Step-by-step explanation:

how to answer that

Gnesinka [82]3 years ago
3 0

Answer:

{ \rm{3 {x}^{2} + 2x - 4 = 0 }}

• let's use the quadratic formular to solve the quadratic equation given.

• Considering general quadratic equation; ax² + bx + c = 0

• therefore;

{ \tt{x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\

  • a is 3
  • b is 2
  • c is -4

• substitute following the mathematical operation rules:

{ \rm{x =  \frac{ - 2 \pm \sqrt{ {2}^{2} - (4 \times 3 \times  - 4) } }{(2 \times 3)} }} \\  \\ { \rm{x =  \frac{ - 2 \pm52}{6} }} \\

• split the values:

{ \rm{either \:  \{x =  \frac{ - 2 +  \sqrt{52} }{6} \} \:  \: or \:  \:  \{x =  \frac{ - 2 -  \sqrt{52} }{6}  \} }} \\  \\ { \rm{either \:  \{x = 0.87 \} \:  \: or \:  \:  \{x =  - 1.54 \}}}

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atroni [7]
So, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1020\\
P=\textit{original amount deposited}\to &\$900\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
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\end{array}\to &1\\
t=years
\end{cases}

\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot  t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t
\\\\\\
log\left(\frac{102}{90}  \right)=log(1.06^t)\implies log\left(\frac{102}{90}  \right)=t\cdot  log(1.06)
\\\\\\
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