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2 votes
Think of a number, double the number,

square the result, then subtract the original
number, the result is 33. What is the
number?

User Sabbane
by
8.2k points

1 Answer

3 votes

Answer:

3

Explanation:

Set up an equation for the scenario


(2x)^2 - (x) = 33

Solve for x by factoring


(2x)^2 - x - 33 = 0


4x^2 - x - 33 = 0


4x^2+11x-12x-33


(4x^2+11x)(-12x-33)


x(4x+11)-3(4x+11)


(4x+11)(x-3)


x-3=0


x=3

plug back in


(2(3))^2 - (3) = 33


(2(3))^2 = 36


(2(3)) = √(36)


2(3) = 6


6 = 6 ✔️

User RichardMiracles
by
8.5k points

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