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Find all x so that 8x^2 * 4x = 2. Enter all the solutions, separated by commas.

 May 2, 2022
 #1
avatar+9310 
+1

Simplifying the left hand side gives 32x^3 = 2.

 

DIviding by 32 on both sides and taking cube root gives the answer.

 

Answer: \(x = \dfrac1{2\sqrt[3]2}\)

 May 2, 2022
edited by MaxWong  May 2, 2022
edited by MaxWong  May 2, 2022
 #2
avatar+1366 
+1

We have: \(32x^3 = 2\)

 

Dividing both sides by 32, we get: \(x^3={1 \over 16}\)

 

Taking the cube root of both sides, we have: \(x = {1 \over { \sqrt[3]{16}}} = \color{brown}\boxed{2 \sqrt[3]{2}}\)

 May 2, 2022

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