Solve the equation \sqrt{3-x}-x=3

FobelloE

FobelloE

Answered question

2021-09-18

Solve the equation
3xx=3

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-09-19Added 100 answers

Step 1
Given that,
3xx=3...(1)
Step 2
Simplification:
3xx=3
3x=3+x
Squaring both the sides,
(3x)2=(3+x)2
3x=9+x2+6x
9+x2+6x3+x=0
x2+7x+6=0
x2+x+6x+6=0
x(x+1)+6(x+1)=0
(x+1)(x+6)=0
x+1=0, x+6=0
x=-1, x=-6 (not satisfy the given equation (1))
x=-1
Step 3
Hence x = -1 is the solution of 3xx=3.

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