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Ugo [173]
3 years ago
11

21. 3x + 4 = x2 How would I solve this using the quadratic equation

Mathematics
1 answer:
hodyreva [135]3 years ago
4 0

Answer:

old

Step-by-step explanation:

idk because I'm just to pit down this because we haven't learned this yet

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Write a polynomial of degree 5 with zero x=0,i square root 7, -2i
professor190 [17]

Answer:

P(x)=x^5+11x^3+28x

Step-by-step explanation:

<u>Roots of a polynomial</u>

If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)

Where a is an arbitrary constant.

We know three of the roots of the degree-5 polynomial are:

x_1=0;\ x_2=\sqrt{7}\boldsymbol{i}:\ x_3=-2\boldsymbol{i}

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

x_4=-\sqrt{7}\boldsymbol{i}:\ x_3=+2\boldsymbol{i}

Let's build up the polynomial, assuming a=1:

P(x)=(x-0)(x-\sqrt{7}\boldsymbol{i})(x+\sqrt{7}\boldsymbol{i})(x-2\boldsymbol{i})(x+2\boldsymbol{i})

Since:

(a+b\boldsymbol{i})\cdot (a-b\boldsymbol{i})=a^2+b^2

P(x)=(x)(x^2+7)(x^2+4)

Operating the last two factors:

P(x)=(x)(x^4+11x^2+28)

Operating, we have the required polynomial:

\boxed{P(x)=x^5+11x^3+28x}

7 0
3 years ago
Plz simplify this expression:<br><br> 5x(x-4)
Bas_tet [7]
Hello! You can answer this question by using the distributive property. Basically

a(b+c) = a(b) + a(c)

Let's apply it to this expression:

5x(x-4)
=5x(x)-5x(-4)
=5x^{2} -20x)

8 0
3 years ago
Read 2 more answers
I need help this is due today
Lana71 [14]

Divide actual distance by the distance of the scale miles

39 miles / 13 miles = 3

Multiply that by the scale inches:

2 inches x 3 = 6 inches.

The answer is 6 inches.

4 0
3 years ago
Read 2 more answers
A number is chosen at random from 1 to 50. Find the probability of selecting numbers with 4 in the tens places.
SpyIntel [72]

Answer:

1/5

Step-by-step explanation:

there are 5 groups

1. 1-9

2. 10-19

3.20-29

4.30-39

5.40-49

and 50

7 0
3 years ago
Write the set of real numbers from -10 through 10 in interval notation.
alexdok [17]

Answer:

Interval: [-10.10]

Step-by-step explanation:

Given

Set: -10 to 10

Required

Write as interval notation

We start by writing the given parameter as an inequality

Inequality: -10 \leq x \leq 10

The direct representation of \leq and \geq in interval representation of sets is [ and ], which shows that the beginning and end of the interval are inclusive;

So, the above inequality in interval notation is:

Interval: [-10.10]

3 0
3 years ago
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