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MATH / The equation x²+18x=27 has two solutions. The positive solution has the form √(a)−b for positive natural numbers a and b. What is a+b?

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problem

The equation x2+18x=27x^2+18x=27 has two solutions. The positive solution has the form a−b\sqrt{a}-b for positive natural numbers aa and bb. What is a+ba+b?
Plain-text mathematical notation (without MathML)
The equation x²+18x=27 has two solutions. The positive solution has the form √(a)−b for positive natural numbers a and b. What is a+b?
Original LaTeX notation
The equation $x^2+18x=27$ has two solutions. The positive solution has the form $\sqrt{a}-b$ for positive natural numbers $a$ and $b$. What is $a+b$?

level

Level 5

type

Algebra

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