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Talja [164]
3 years ago
15

The sum of the square of a positive number and the square of 3 or more than the numbers is 17. What is the number

Mathematics
1 answer:
Crank3 years ago
3 0

Answer:

 1

Step-by-step explanation:

Let x represent the number. The given relation is ...

 x² +(x+3)² = 17

 2x² +6x +9 = 17 . . . . simplify

 x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2

 (x +4)(x -1) = 0 . . . . . factor

The solutions make these factors zero: -4 and +1. The positive solution is 1.

The number is 1.

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Using translation concepts, it is found that the equation that represents the new function is:

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The cube root parent function is given by:

y = \sqrt[3]{x}

<h3>Translation:</h3>

The function goes through these following translations:

  • Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence y = 3\sqrt[3]{x}.
  • Reflected over the x-axis, that is, it is multiplied by -1, hence y = -3\sqrt[3]{x}.
  • Translated 8 units down, that is, 8 is subtracted from the function, hence y = -3\sqrt[3]{x} - 8.

Then, the equation is:

  • y = -3\sqrt[3]{x} - 8

To learn more about translation concepts, you can take a look at brainly.com/question/13671886

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