.20. Represent in the form of a quadratic equation:
The sum of the squares of two positive integers is 117. If the square of the smaller numbe
equals four times the larger number, we need to find the integers
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Answer:
Quadratic equation is x²+4x-117
Step-by-step explanation:
Let 2 numbers be x and y
Let x>y
x²+y²=117
y²=4x
x²+4x-117
x²+11x-9x-117
x(x+11)-9(x+11)
x=9
4(9)=y²
y²=36
y=✓36
y=6
Therefore x=9 and y=6
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