solve: 3x- (√3-x)+5=0

solve: 3x- (√3-x)+5=0
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1 Answer

Rearrange:

3x+5=√(3-x),

9x2+30x+25=3-x,

9x2+31x+22=0=(x+1)(9x+22).

So x=-1 or -22/9. But these have to be tested in the original equation.

x=-1⇒ -3+5=2; √(3+1)=2. OK

x=-22/9⇒-66/9+5=-7/3; √(3+22/9)=7/3. Reject because √(3-x) implies the positive square root.

SOLUTION: x=-1

by Top Rated User (1.2m points)

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