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Aliun [14]
2 years ago
14

Replace ... with ≥ or ≤ so that the derived inequality will be true for any value for x: x^2-16x+64 ... 0

Mathematics
1 answer:
ankoles [38]2 years ago
8 0

Answer:

≥

..................................................

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Solve x^2 − 4x = 14.
DENIUS [597]
Minus 14 from both sides
x²-4x-14=0
use quadratic formula because we cant factor

for
ax²+bx+c=0
x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}

so
1x²-4x-14=0
a=1
b=-4
c=-14

x= \frac{-(-4)+/- \sqrt{(-4)^2-4(1)(-14)} }{2(1)}
x= \frac{4+/- \sqrt{16+56} }{2}
x= \frac{4+/- \sqrt{72} }{2}
x= \frac{4+/- 6\sqrt{2} }{2}
x= 2+/- 3\sqrt{2}

the solutions are
x=2+√3 and
x=2-√3
3 0
3 years ago
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