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# Algebra

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

May 2, 2022

#1
+9310
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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
+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