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Fittoniya [83]
3 years ago
12

Solve the following quadratic equation: (x-16)^2= 256

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0
Simplifying
(x + -16) * 2 = 256

Reorder the terms:
(-16 + x) * 2 = 256

Reorder the terms for easier multiplication:
2(-16 + x) = 256
(-16 * 2 + x * 2) = 256
(-32 + 2x) = 256

Solving
-32 + 2x = 256

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '32' to each side of the equation.
-32 + 32 + 2x = 256 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 256 + 32
2x = 256 + 32

Combine like terms: 256 + 32 = 288
2x = 288

Divide each side by '2'.
x = 144

Simplifying
x = 144
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Answer:

If it is being dilated from (0,0) the answer is below.  

Step-by-step explanation:

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Using (0,0) as the dilation point is the easiest because we just have to ask how far are the x and y coordinates away from (0,0) and any number is THAT number away from 0.  

We break this into the two coordinates too.  so how far is -3 from 0?  -3.  so we want a point 3 times as far away, so what is that?  -9.  Same for 11, 11 is 11 away from 0 so we want it 3 times as far, which is 33.

Now that we have the two coordinates  that is the answer.  

(-9, 33)

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Step-by-step explanation:

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