Find x, if 6sqrtx+x=3

Harlen Pritchard

Harlen Pritchard

Answered question

2021-08-13

Find x, if 6x+x=3

Answer & Explanation

avortarF

avortarF

Skilled2021-08-14Added 113 answers

6x+x=3
6x=3x
Square both sides to create a quadratic equation:
36x=96x+x2
x242x+9=0
Use the Quadratic formula:
x=b±b24ac2a
In our case, a=1, b=-42, and c=9. Substitute:
x=42±(42)24(9)2
x=42±17282
x=42±2432
x=21±123
After checking the two values of the given equation, the only solution is:
x=21123

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