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Solve equation square root x-3 equals x-5?

Updated: 11/5/2022
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Dianarlove19

Lvl 1
14y ago

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Gertrude Carroll

Lvl 10
3y ago
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Wiki User

14y ago

√(x-3) = x-5
x-3 = (x-5)2
x-3 = x2 -10x+25
0=x2-11x+28
0=(x-7)(x-4)
x-7=0, x-4=0
x=7, x=4

Check:
√(7-3) = 7-5
√4 = 2
2=2
yes

√(4-3) = 4-5
√1 = -1
no

This answer is:
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