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algol [13]
3 years ago
7

5x + y2

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0
5x+y2
=15+4
=19
So 19 is the answer.
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Find all the zeros of the equation x^4-6x^2-7x-6=0
rusak2 [61]

Answer:

The zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

a_0=6,\:\quad a_n=1

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}

-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2

=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\

=x^3-2x^2-2x-3

Again factor using the rational root test, we get

=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)

Using the zero product rule, we have

x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}

Therefore, the zeros are

x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}


4 0
3 years ago
Read 2 more answers
Is the multiplicative identity for rational number​
enot [183]

Answer:

The rational number 1 is the multiplicative identity for rational numbers.

Step-by-step explanation:

I hope this will help you buddy

3 0
3 years ago
Mike bought a soft drink for 2 dollars and 7 candy bars. He spent a total of 23 dollars. How much did each candy bar cost? Write
hram777 [196]

21 divided by 7 is 3 so each candy bar equals 3 dollars

4 0
3 years ago
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Find the value of each variable,<br> y =<br> Z=
Leno4ka [110]
ANSWER:
y = 119
z = 66

EXPLANATION:
z = 180° - 114° = 66°
y = 360° - (95° + 81° + 66°) = 119°

5 0
3 years ago
HELP ILL MARK YOU BRAINLIEST (40PTS)!! Which number line best shows how to solve −6 − (−8)? A number line from negative 10 to 10
GalinKa [24]

Answer:

i think it is 6 but not sure

Step-by-step explanation:

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