The Cube Root of The Number of Solutions to an Equation

Algebra Level 1

How many solutions does the equation

cube root of (2x+2y) = cube root of x

have?

0 2 1 Infinity

Aaryan Vaishya by aaryan vaishya , 14, USA

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2 solutions

Blan Morrison
Oct 24, 2018

2 x + 2 y 3 = x 3 \sqrt[3]{2x+2y}=\sqrt[3]{x} 2 x + 2 y = x 2x+2y=x 2 y = − x 2y=-x y = − x 2 y=\frac{-x}{2} Since all linear equations have an infinite amount of solutions, there are infinitely many solutions. β ⌈ ∣ ⌉ ~\beta_{\lceil \mid \rceil}

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Aaryan Vaishya
Oct 24, 2018

The equation was just a more complicated version of the equation 2x + 2y=x,which has infinitely many solutions of the form x,-x/2.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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