The deference of an integer x and -6 is 4 .find the value of x
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Let the number x and y
x - y = 4 \\ xy = 221 \\ x = \frac{221}{y} \\ \frac{221}{y} - y = 4 \\ 221 - {y}^{2} = 4y \\ - {y}^{2} - 4y + 221 = 0 \\ {y}^{2} + 4y - 221 = 0 \\ {y}^{2} - 17y + 13y - 221 = 0 \\ y(y - 17) + 13(y - 17) = 0 \\ (y + 13)(y - 17) = 0 \\ y = - 13 \\ y = 17 \\
put these values of y into any of the equation.
xy= 221
x = \frac{221}{ - 13} = - 17 \\ x = \frac{221}{17 } = 13
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Answer:
Step-by-step explanation:
hence given difference between those numbers is 4.
we can write it as (x -(-6)) = 4
then we get x + 6 = 4
x = 4 - 6
then we value of x = -2 (since we get the sign of bigger number)
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