Given that 110ₓ = 40₅ , find the value of x.

Mathematics

1 answer:

MrRa [10]2 years ago

3 0

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 ± $\sqrt{1^2 - 4* 1 (-20)}$

x = ------------------------------------

2 * 1

x = -5; x = 4

therefore, x = 4

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