tell a number whose sum is -15 and product is -96
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Let the numbers be “x” and “y”
According to question,
x + y = 20 (equation 1)
And xy = 96
x = 96/y (equation 2)
From equation 1 and 2,
96/y + y = 20
96 + y² = 20y
y² - 20y + 96 = 0
y² - 8y - 12y + 96 = 0
(y - 8)(y - 12) = 0
y = 8, 12
Therefore, x = 12 at y = 8 and x= 8 at y = 12
Therefore, sum of their squares will be
x² + y² = 12² + 8² = 208
Or 8² + 12² = 208
Step-by-step explanation:
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