3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

5 0

Answer:

Step-by-step explanation:

cuse

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Finger [1]

Answer:

Step-by-step explanation:

The largest number is 5. Therefore x ≥ 6.

Convert numbers from x system to decimal system:

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Solve the equation for x:

$42_x+53_x=125_x\Rightarrow4x+2+5x+3=x^2+2x+5\qquad\text{combine like terms}\\\\(4x+5x)+(2+3)=x^2+2x+5\\\\9x+5=x^2+2x+5\qquad\text{subtract 5 from both sides}\\\\9x=x^2+2x\qquad\text{subtract}\ 9x\ \text{from both sides}\\\\0=x^2-7x\\\\x^2-7x=0\qquad\text{distributive}\\\\x(x-7)=0\iff x=0\ \vee\ x-7=0\\\\x=0$

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