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slega [8]
4 years ago
6

What is the answer to X^2-2X+5=0 rounded to nearest hundreth

Mathematics
1 answer:
eimsori [14]4 years ago
8 0
First you input the equation into the quadratic formula:
                  __________
x=<span><span><span>−<span>(<span>−2</span>)</span></span>±<span>√<span><span><span>(<span>−2</span>)</span>2</span>−<span><span>4<span>(1)</span></span><span>(5)</span></span></span></span></span>
</span>     -----------------------------      
                     2(1)
 Next you simplify the formula:
            ___
 x=<span><span>2±<span>√<span>−16
</span></span></span></span>    ------------
            2

This problem has no real solutions. 
 
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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
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Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

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