The sum of the squares
of two positive integers is
185. if one integer is 3
less than the other, find
the larger integer.

Larger integer is 11.

Step-by-step explanation:

The sum of the squares of two positive integers is 185.

If one integer is 3 less than the other then we have to find the larger integer.

Let the larger integer is x.

Then as per statement of the question smaller integer will be = (x - 3)

Now it has been stated that x² + (x - 3)² = 185

So, x² + x² + 9 - 6x = 185

2x² - 6x + 9 - 185 = 0

2x² - 6x - 176 = 0

x² - 3x - 88 = 0

x² - 11x + 8x - 88 = 0

x(x - 11) + 8(x - 11) = 0

(x + 8)(x - 11)= 0

x = 8, 11

Now we put x = 8 and x = 11 in the given equation Then we find x = 11 is the value that satisfy the equation x²- 3x - 88 = 0

Therefore, the larger integer is 11.

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic

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