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patriot [66]
3 years ago
11

Solve 4x^5-12x^4+x^3-52x^2-60x-16=0

Mathematics
1 answer:
natali 33 [55]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

4x^5 - 12x^4 + x^3 - 52x^2 - 60x - 16 = 0

The fastest way to do this is to draw a graph on paper or with software. This will give you any real solutions. For a complete solution you could  then use long division and  solve the quotient.

From the graph I drew there are 3 real solutions: 4  and -0.5 multiplicity 2.

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frosja888 [35]

Multply both sides of the equation by 7.

\dfrac{x}{7}\cdot 7=\dfrac{4}{5}\cdot 7\\\\x=\dfrac{28}{5}=5.6

_____

When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.

In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.

7 0
3 years ago
An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a wi
RoseWind [281]

Answer:

5 inches

Step-by-step explanation:

we know that

The scale drawing is

\frac{1}{4}\ in : 1\ ft

using proportion find out the width of the great room on her plan

\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in

4 0
3 years ago
The sum of the first 100 positive numbers?
ladessa [460]
S ( s + 1)/ 2
so <span>The sum of the first 100 positive numbers

100(100 + 1) / 2
= 50(101)
= 5050</span>
6 0
3 years ago
25 points!!!!!! PLEASE HELP UGHHHHHHHHHHHHHHHHHHHHHHHHHHH
Dovator [93]
Because of the -2 at the end of the function, we know it is shifted down. The +1 means it is shifted left. The answer is the last graph (the one with a y-intercept of  -1).
5 0
3 years ago
The formula to find the area of a rectangle is: area = length x width.
bezimeni [28]
Answer : E ; 105 square feet

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3 years ago
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