What is the answer to (8x^2+1)/((sqrt(x)))= 5/2 ?

The answer to (8x^2+1)/((sqrt(x)))= 5/2 is No Solution for x\in\mathbb{R}

Solve for x: (8x^2+1)/((sqrt(x)))= 5/2

The solution is No Solution for x\in\mathbb{R}

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\frac{8 x ^{2} + 1}{( x )} = \frac{5}{2}

No Solution for x \in R

Solution steps

\frac{8 x ^{2} + 1}{( x )} = \frac{5}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(8 x^{2} + 1) \cdot 2 = x \cdot 5

Expand

(8 x^{2} + 1) \cdot 2 : 16 x^{2} + 2

16 x^{2} + 2 = x \cdot 5

Square both sides:

256 x^{4} + 64 x^{2} + 4 = 25 x

256 x^{4} + 64 x^{2} + 4 = 25 x

Solve

256 x^{4} + 64 x^{2} + 4 = 25 x :

No Solution for

x \in R

No Solution for x \in R

c \cdot x - 10 x + 21 = 0

x^{\frac{2}{3}} + 2 x^{\frac{1}{3}} - 8 = 0

\frac{- ( 2 x + 1 )}{3 + 2} = 0

x = 0.25

x, z = x (x^{2} + y^{2})^{\frac{1}{2}}

What is the answer to (8x^2+1)/((sqrt(x)))= 5/2 ?
The answer to (8x^2+1)/((sqrt(x)))= 5/2 is No Solution for x\in\mathbb{R}
Solve for x: (8x^2+1)/((sqrt(x)))= 5/2
The solution is No Solution for x\in\mathbb{R}