Given that 110ₓ = 40₅ , find the value of x.
1 answer:
Answer:
x = 4
Step-by-step explanation:
110ₓ = 40₅ --------- change all to base ten.
<u>the system called binary</u>
1x²+1x ¹+0x⁰ = 45¹+0*5⁰
x² + x + 0 = 20
x² + x – 20 = 0
solve x using Quadratic equation
-1 ± 
x = ------------------------------------
2 * 1
x = -5; x = 4
therefore, x = 4
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