I need step by step help with: 3x^1/3 + 2x^2/3 =5

1 answer:

5 0

If you write $y=x^{1/3}$ , you'll notice this is really just a quadratic equation that can be factorized:

$2x^{2/3}+3x^{1/3}-5=0\iff 2y^2+3y-5=0\iff (2y+5)(y-1)=0\iff(2x^{1/3}+5)(x^{1/3}-1)=0$

So you have

$2x^{1/3}+5=0\implies 2x^{1/3}=-5\implies x^{1/3}=-\dfrac52\implies x=-\dfrac{125}8$

and

$x^{1/3}-1=0\implies x^{1/3}=1\implies x=1$

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Factor -1/4 out of -1/2-5/4y

In-s [12.5K]

When we factor out something, we divide the factor by the equation. For example if we were to factor 3 out of 6, It will be 3(2). We got this answer by dividing 3 and 6. Using this concept:

$\frac{-1}{4}[( \frac{-1}{2} / \frac{-1}{4}) - ( \frac{5}{4} y / \frac{-1}{4})]$

Simplifying:

$\frac{-1}{4}(2 + 5y)$

Hope this helps!

3 0

2 years ago

Lin's teacher uses the box to store her set of cubes with an edge length of one half inch. if the box is completely full, how ma

nlexa [21]

Answer:

448 cubes

Step-by-step explanation:

Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.

Since, volume of a cube = (Side)³

Side of the cube = $\frac{1}{2}$ inch