+129852 We have that
(4 - x)^2 + (-3 - 7)^2 = (6√5)^2 simplify
x^2 - 8x + 16 + (-10)^2 = 36*5
x^2 - 8x + 116 = 180 subtract 180 from both sides
x^2 - 8x - 64 = 0
Using the quadratic formula
a = 1 b = -8 c = -64
8 ±√ [ (-8)^2 - 4(1)(-64) ]
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2(1)
8 ±√ [ 64 + 256]
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2
8 ±√ [ 64 ( 1 + 4 ) ]
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2
8 ± 8√5
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2
4 ± 4√5
The two possible values of x are
4 + 4√5 and 4 - 4√5
Help please
