High 5

Algebra Level 3

Suppose x x is any number. In which of the following answer choices would x x 's value make y y is 5?

y = s q r t ( x ) ∗ 4 a y = sqrt(x) * 4a

with a a being 5 x 5x .

-20 0.397 -20x√x There is no possible solution

Aarav Dave by Aarav Dave , 13, India

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1 solution

4 x 3 2 = 1 ⟹ x 3 = 1 16 4x^{\frac 32}=1\implies x^3=\dfrac {1}{16}

⟹ x = ( 1 16 ) 1 3 ≈ 0.397 \implies x=\left (\dfrac {1}{16}\right )^{\frac 13}\approx \boxed {0.397} .

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