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Zielflug [23.3K]
3 years ago
10

A polynomial has one root that equals 5 -7i. Name one other root of this poynomial.

Mathematics
2 answers:
Strike441 [17]3 years ago
3 0

Answer:

5+7i

Step-by-step explanation:

Scilla [17]3 years ago
3 0

Answer:

(5 + 7i)

Step-by-step explanation:

recall that the complex conjugate root theorem states that for a polynomial with real coefficients and with a complex root a + bi, then the other root must be the complex conjugate a - bi

in our case we are given that the polynomial (which we will assume to have real coefficients) has a complex root (5 - 7i)

if we compare this with our explaination above, we can see that a = 5 and b = -7.

hence the other root must be the complex conjugate of (5 - 7i) which is (5 + 7i)

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Use completing the square to solve for x in the equation (x-12)(x+4)=9.
Debora [2.8K]
For a quadratic of the form x^2+bx=-c, we can solve by completing the square.

First, we must expand the expression and convert it to the form above.

(x-12)(x+4)=9\\x^2+4x-12x-48=9\\x^2-8x=57

Completing the square is like forcing a quadratic to be factored like a perfect square trinomial. To do so, we add the square of half of the coefficient b, ( \frac{b}{2})^2, to both sides of the equation.

x^2-8x+( \frac{-8}{2})^2=57+( \frac{-8}{2})^2\\\\x^2-8x+16=57+16

We then factor like a perfect square trinomial and simplify.

(x-4)^2=73

x-4= \pm \sqrt{73} \\\\ x = 4+\sqrt{73} \ or \ x = 4-\sqrt{73}
8 0
3 years ago
Read 2 more answers
HELPP
algol13
I am assuming the both cylinders have the same measure of radius. They only differ in height.

Larger Cylinder = 343 ft³
Smaller Cylinder = 125 ft³ ; height = 5 ft.

We can use proportion for this problem; a:b = c:d where ad = bc

5 ft :125 ft³ = x : 343ft³
5 ft * 343 ft³ = 125 ft³ * x
1715 ft⁴ = 125 ft³ * x
1715 ft⁴ ÷ 125 ft³ = x
13.72 ft = x  height of the larger cylinder.

Cone S = 768pi cm³
Cone T = 6144pi cm³ ; height = 24 cm

24 cm : 6144 cm³ = x : 768 cm³
24 cm * 768 cm³ = 6144 cm³ * x
18,432 cm⁴ = 6144 cm³ * x 
18,432 cm⁴ ÷ 6,144 cm³ = x
3 cm = x height of Cone S.



6 0
3 years ago
A rectangular prism  has a volume of 144 cubic feet. The height of the prism is 6 feet. Give one possible pair of dimensions for
IrinaK [193]
You're given the volume and height of rectangular prism.
To find the possible length and width: √144/6=24;
24 is the product of length and width, so now just divide 24 by 4 or 6 or 2 or...
24/4=6.
The possible length and width is 4 and 6.
Check: 4×6×6=144ft³
6 0
3 years ago
Please answer :) will give brainlst
Andre45 [30]

Answer:

Your answer would be B. A metal railing rusting in damp weather because anything that contains any sort of rust whats so ever is always considered a chemical change.

4 0
3 years ago
What value of x will make AONM similar to ASRQ by
Rashid [163]

Answer:

16 for sure ...

Step-by-step explanation:

16 for sure . which grade question is this ?

8 0
3 years ago
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