2 years ago

The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?

Mathematics

1 answer:

tankabanditka [31]2 years ago

6 0

Answer:

x² + x = 42

Step-by-step explanation:

Let the number be x then the square of this number is x²

Sum and equate to 42, that is

x² + x = 42

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Answer:

Step-by-step explanation:

By exterior angle theorem:

$(2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\ \\ (2x + 12) \degree = 292 \degree - 2x \degree \\ \\ (2x + 12) \degree + 2x \degree = 292 \degree \\ \\ (2x + 12 + 2x) \degree = 292 \degree \\ \\ (4x + 12) \degree = 292 \degree \\ \\ 4x + 12 = 292 \\ \\ 4x = 292 - 12 \\ \\ 4x = 280 \\ \\ x = \frac{280}{4} \\ \\ x = 70$