What is the answer to ((a^3-16))/(8a)= 3/(8*a^2) ?

The answer to ((a^3-16))/(8a)= 3/(8*a^2) is a\approx-0.18742…,a\approx 2.57947…

Solve for a: ((a^3-16))/(8a)= 3/(8*a^2)

The solution is a\approx-0.18742…,a\approx 2.57947…

Popular >

\frac{( a ^{3} - 16 )}{8 a} = \frac{3}{8 \cdot a ^{2}}

a \approx - 0.18742 \dots, a \approx 2.57947 \dots

Solution steps

\frac{( a ^{3} - 16 )}{8 a} = \frac{3}{8 a ^{2}}

Cross multiply

(a^{3} - 16) \cdot 8 a^{2} = 24 a

Solve

(a^{3} - 16) \cdot 8 a^{2} = 24 a : a = 0, a \approx - 0.18742 \dots, a \approx 2.57947 \dots

a = 0, a \approx - 0.18742 \dots, a \approx 2.57947 \dots

Verify Solutions

Find undefined (singularity) points:

a = 0

Since the equation is undefined for:

0

a \approx - 0.18742 \dots, a \approx 2.57947 \dots

x^{- 1} 6 x + 64 = 0

lo g_{3} (y + 14) = \frac{1 + 2}{( lo g _{y} ( 3 ) )}

2 (x - [\frac{1}{x}])^{2} + 3 (x + [\frac{1}{x}]) - 12 = 0

\frac{1}{( x + 2 )} + \frac{1}{x} = \frac{3}{4}

\frac{3.5}{x} = \frac{10.5}{6}

What is the answer to ((a^3-16))/(8a)= 3/(8*a^2) ?
The answer to ((a^3-16))/(8a)= 3/(8*a^2) is a\approx-0.18742…,a\approx 2.57947…
Solve for a: ((a^3-16))/(8a)= 3/(8*a^2)
The solution is a\approx-0.18742…,a\approx 2.57947…