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Svetradugi [14.3K]
3 years ago
7

Solve and simplify: x(x - 1) = 121 – x​

Mathematics
2 answers:
vaieri [72.5K]3 years ago
4 0

Answer:

\boxed{\bold{x  \ =  \ 11  \ or  \ x  \ =  \ -11}}

Explanation:

\bold{x(x  \ -  \ 1)  \ =  \ 121  \ -  \ x}

Simplify both sides of the equation

x² − x = −x + 121

Add x to both sides

x² − x + x = −x + 121 + x

x² = 121

Take square root

x = ± √121

x = 11 or x = −11

GuDViN [60]3 years ago
3 0

Answer:

x=11

Step-by-step explanation:

x(x-1)=121-x\\\\x^2-x=121-x\\\\x^2=121\\\\x=\sqrt{121}\\\\x=11

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