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abruzzese [7]
3 years ago
5

What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.

Mathematics
1 answer:
pentagon [3]3 years ago
7 0

Answer:

x=+/-3

Step-by-step explanation:

x^4-5x^2-36=0

factor

(x^2-9)(x^2+4)=0

split into 2 equations because one of these terms will need to equal zero for the eqation to be true

x^2-9=0              x^2+4=0

x^2=9                    x^2=-4

x=+/-3                    no real numbers

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Competition is most intense between closely related species that __________. have different beak sizes use different resources u
kupik [55]
Competition is most intense between closely related species that use the same resources, as both species are competing for these limited resources.
3 0
2 years ago
Find the 6th term of a geometric sequence with t1=5 and r = -1/2
Hoochie [10]
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
   
                 An = (A₀)(r)ⁿ ⁻ ¹ 
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms. 

Substitute the known values to the equation,

                   An = (5)(-1/2)⁶ ⁻ ¹
                   An = -5/32

Hence, the answer to this item is the third choice, -5/32. 
5 0
3 years ago
Rewrite (2x^2+13x+26) / x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x). In the rewritten expression, q(x) is_____and r
likoan [24]

The value of q(x) is 2 x+5

The value of r(x) is 6

Explanation:

The given expression is \frac{2 x^{2}+13 x+26}{x+4}

We need to rewrite the expression in the form of q(x)+\frac{r(x)}{b(x)}

Simplifying the expression, we get,

\frac{2 x^{2}+8 x+5x+26}{x+4}

Separating the fractions, we have,

\frac{2 x^{2}+8 x}{x+4}+\frac{5 x+26}{x+4}

2 x+\frac{5 x+26}{x+4}  -----------(1)

Now, we shall further simplify the term \frac{5 x+26}{x+4} , we get,

\frac{5 x+26}{x+4}=\frac{5 x+20}{x+4}+\frac{6}{x+4}

Common out 5 from the numerator, we have,

\frac{5 x+26}{x+4}=5+\frac{6}{x+4}

Substituting the value \frac{5 x+26}{x+4}=5+\frac{6}{x+4} in the equation(1), we get,

2 x+5+\frac{6}{x+1}

Thus, the expression \frac{2 x^{2}+13 x+26}{x+4}=2 x+5+\frac{6}{x+1} is in the form of q(x)+\frac{r(x)}{b(x)}

Hence, we have,

q(x)=2 x+5

r(x)=6 and

b(x)=x+4

5 0
3 years ago
Max is buying a home worth $250,000. He will pay 3 percent in closing costs and 12 percent for a down payment. Calculate how muc
Svet_ta [14]
Hey there, Lets solve this together, 

We all know that you will <span>start off with 250,000 and multiply that by 3%, which is the same thing as .03 in decimal form.
</span>
= 7500

You do the same thing again. 

 <span>12%,= 30,000 for the down payment.
</span>

6 0
2 years ago
3(x+1)=5(x−2)+7<br> solve for x
bearhunter [10]
X=3

3(3+1)=12

5(3-2)+7=12
8 0
2 years ago
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