Mathematics: Please help me out and explain it to me

160 x 60% — 160 x 0.6 = 96 green hat elfs...

Please help me out and explain it to me

mikey4416

26.01.2022

Step-by-step explanation:

x^2-6x+25=0

A quadratic equation can be solved by using the quadratic formula, $x = (-b (+/-) \sqrt{b^{2}-4ac }) /2a$

So the equation to start with is ax^2+bx+c=0, thus your equation has the same layout.

a= 1

b= -6

c= 25

Then plug it in

$x=( -(-6) (+/-) \sqrt{6^{2}-4(1)(25) } )/2(1)\\x= (6(+/-) \sqrt{36-100} )/2\\x= (6(+/-)\sqrt{-64} )/2$

When you have a negative in the root you have to take out an i

i = - $i^{2}$

So when you take it out the negative isn't there anymore so you can simplify normally

Now split up the plus and minus

$x= (6 + 8i)/2\\x= 3+4i\\x= (6-8i)/2\\x= 3-4i\\x= (3-4i) and (3+4i)$

So the answer is A

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