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Dmitry [639]
3 years ago
13

Simplified (4x3 - 5x2 + 3x) + (-2x3 - x2 + 6x)

Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

<em>Answer is</em><em> </em><em>imaginary</em><em> </em><em>root</em><em>s</em>

Step-by-step explanation:

({4x}^{3}  -  {5x}^{2}  + 3x) + ( -  {2x}^{3}  -  {x}^{2}  + 6x) \\ 2 {x}^{3}  - 6 {x}^{2}  + 9x = 0 \\ dividing \: by \: x \\ 2  {x}^{2}  - 6x + 9 = 0 \\ dividin g\: by \: 2 \\  {x}^{2}  - 3x +  \frac{9}{2}  = 0 \\ shifting \: the \: constant \: term \: on \: right \: side \\  {x}^{2}  - 3x =  -  \frac{9}{2}  \\ adding \:  \frac{1}{2}  \times (coefficient \: of \: x) \: whole \: square \\

On solving the above mentioned equation we get some imaginary values.

<em> </em><em> </em><em> </em><em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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seraphim [82]

Answer:

k=2

Step-by-step explanation:

We have got a right triangle LNO with sides = m,4 and 8

By Pythagorean theorem

m^2=4^2 +8^2

Or m^2 = 80  ... i

IN triangle NOM, 4^2 +k^2 = l^2

i.e. 16+k^2 = l^2... i

In triangle LNM, m^2+l^2 = (8+k)^2

Substitute for m^2 as 80,

i.e. 80+l^2 = 64+k^2 +16k  ... iii

From i, l^2 = 16+k^2

Substitute in iii

80+16+k^2 = 64+k^2 +16k

16k = 32 or k =2


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