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san4es73 [151]
3 years ago
7

First to answer gets brainliest

Mathematics
2 answers:
Grace [21]3 years ago
8 0
Answer: 14
Square both sides, getting you
2x-3=25
Add 3 to both sides
2x=28
Divide both sides by 2
x=14
Artyom0805 [142]3 years ago
5 0
To remove the square root get square on both sides.
Square root 2x-3^2=5^2
Remove the square root by cancelling the square and square root.
2x-3=25
2x=25+3
X=28/2
X=14
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What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?
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a_2=a_1+d=8+d
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1. If a polynomial of Degree 4 has an imaginary zero at -2i and a real zero at 5, how many imaginary zeros does it have?
Vadim26 [7]

Answer:

Complex roots for polynomials equations will always come in conjugate pairs.  Since 1-2i is a root, 1+2i will also be a root.  (Just switch the sign of the imaginary part to its opposite.)

Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2

Putting it all together, we can construct our polynomial of degree 4 as

y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]

Multiply the factors (FOIL):

[x - (1-2i)][x - (1+2i)] =

x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =

x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =

x2 - 2x + 5

(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

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2 years ago
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The rotational symmetry has more than one order of rotational symmetry the objects can fit itself within 360 degrees.
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