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September 21, 2014

September 21, 2014

Posted by **Anonymousab** on Saturday, June 15, 2013 at 11:12pm.

(square root start) 4x-8 (square root end)=-8

- math -
**Reiny**, Sunday, June 16, 2013 at 8:39am√(4x-8) = -8

I can immediately tell that this equation cannot have a real number solution because the definition of √ is to give the positive square root of a number

let's see what happens when we follow our regular routine ....

square both sides:

4x-8 - 64

4x = 72

x = 18

checking:

if x = 18

LS = √(72-8) = √64 = +8

RS = -8

LS ≠ RS

there is no solution, as stated at the start

This question points out why it is important to check all resulting answers after squaring both sides of an equation.

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