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# If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y?

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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? [#permalink]
Wow!
Thanks so much. I have to pay attention to these little things on the exam.
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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? [#permalink]
if x^2=2y^3 and 2y=4
X^2= 2(2)^3 [y=2]
X^2=2*8
X^2=16
X=4
Equation:- x^2+y
=(4)^2+2
=16+2
=18

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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? [#permalink]
Top Contributor
2y=4
so , y = 4/2 =2.

$$x^2 = 2 y^3$$

$$x^2 = 2* 2^3$$
$$x^2 = 16$$

Then $$x^2 +y$$ = 16 + 2 = 18

Thanks,
Clifin J Francis,
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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? [#permalink]

Solution

Given
• $$x^2$$ = 2$$y^3$$
• 2y = 4

To find
• The value of $$x^2$$ + y

Approach and Working out
• 2y = 4
o y = 2
o So, 2$$y^3$$ = 2(8) = 16

• Now, $$x^2$$ = 2$$y^3$$ = 16
o Thus, $$x^2$$ = 16

Finally, $$x^2$$ + y = 16 + 2 = 18

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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? [#permalink]
Top Contributor
Given that $$x² = 2y³$$ and 2y = 4 and we need to find the value of $$x² + y$$

2y = 4
=> y = $$\frac{4}{2}$$ = 2

$$x² = 2y³$$ = 2 * $$2^3$$ = 2 * 8 = 16

=> $$x² + y$$ = 16 + 2 = 18

Hope it helps!

Watch the following video to learn the Basics of Exponents

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Re: If x^2 = 2y^3 and 2y = 4, what is the value of x^2 + y? [#permalink]