WILL GIVE BRAINLIESTHannah and Han are each trying to solve the equation x² – 8x + 26 = 0. They know that
x = -1 are i& - i, but they are not sure how to use this information to solve for x in their
equation.
Part 1- Here is Hannah's work:
x? - 8x + 26 = 0
X? – 8x = -26
Show Hannah how
to finish her work using completing the square and complex numbers.
Part 2- Han decides to solve the equation using the quadratic
formula. Here is the beginning of his
work
-b+V62-4ac
-(-8)+7-8)2–401|(26)
Finish using the quadratic formula. Simplify the final answer as much as possible.

Answers

Answer 1

Answer:

The solutions are:-

$x=4+√(10i)\n\nx=4-√(10i)$

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

$x^2- 8x + 26 = 0\n\nx^2-8x=-26\n\n(x-4)^2=-10\n\n$

$(x-4)=$ ± $√(-10)$

$x=√(10)i+4\n\nx=-√(10)i+4$

So,

$x=(-b+-√(b^2-4ac))/(2a)\n\nx=(8+-√((-8)^2-4(1)(26)))/(2(1))\n\nx=(8+-√((-8)^2-4(1)(26)))/(2(1))\n\nx=(8+-√(64-104))/(2)\n\nx=(8+-2√(10i))/(2)\n\nx=(2(4+-√(10i)))/(2)\n\nx=4+√(10i)\n\nx=4-√(10i)$

Hence, the solutions are:-

$x=4+√(10i)\n\nx=4-√(10i)$

To know more about the equation

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Answer 2

Answer:

Part one:

$x^2-8x=-26$

Rewrite in the form $(x+a)^(2) =b$

$\left(x-4\right)^2=-10$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=√(a),\:-√(a)$

Solve $x-4=√(-10) : x=√(10) i+4$

Solve $x-4=√(-10) : x=-√(10) i+4$

$x=√(10)i+4,\:x=-√(10)i+4$

Part two:

$x=(-\left(-8\right)\pm √(\left(-8\right)^2-4\cdot \:1\cdot \:26))/(2\cdot \:1)$

Simplify $√(\left(-8\right)^2-4\cdot \:1\cdot \:26)}: 2√(10) i$

$=(-\left(-8\right)\pm \:2√(10)i)/(2\cdot \:1)$

Separate solutions

$x_1=(-\left(-8\right)+2√(10)i)/(2\cdot \:1),\:x_2=(-\left(-8\right)-2√(10)i)/(2\cdot \:1)$

$(-(-8)+2√(10)i )/(2*1) :4+√(10)i$

$(-(-8)+2√(10)i )/(2*1) :4-√(10)i$

$x=4+√(10)i,\:x=4-√(10)i$

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The population of Hillsborough County in Florida in 2010 was 1,229,226 and the landarea was 1,020 square miles. The population increased by 9.7% in 2015.
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Answers

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Answers

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Answers

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Answers

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I hope this helps you!

Round the number 3,250.0883 to the nearest hundredth

Answers

3,250.0883 to the nearest hundredth

We write the place chart for the given number

Th H tens Ones . tenths hundredths thousandths Ten thousandths

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To round the number to nearest hundredth, we look at the number in thousandths place. 8 is greater than 5 so we add 1 with the number in hundredths place

Hence , the number 8 in hundredth place becomes 8

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Answers

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Step-by-step explanation:

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