Find the positive solution of the equation. 4x^((7)/(2))+15=527 Answer:

Subtract 15: Subtract 15 from both sides of the equation to isolate the term with the variable x. 4x^(7/2) + 15 - 15 = 527 - 15 4x^(7/2) = 512Divide by 4: Divide both sides of the equation by 4 to solve for x^(7/2). (4x^(7/2)) / 4 = 512 / 4 x^(7/2) = 128Recognize power of 2: Recognize that 128 is a power of 2. Specifically, 128 = 2^7. x^(7/2) = 2^7Raise to power: To solve for x, we need to get rid of the exponent (7/2). We can do this by raising both sides of the equation to the power of (2/7). (x^(7/2))^(2/7) = (2^7)^(2/7) x = 2^(7*(2/7)) x = 2^2Calculate x: Calculate 2^2 to find the value of x. x = 2^2 x = 4

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Find the positive solution of the equation.

4x^((7)/(2))+15=527
Answer:

Find the positive solution of the equation. $\newline$ $4 x^{\frac{7}{2}}+15=527$ $\newline$ Answer:

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Q. Find the positive solution of the equation.

\newline

4 x^{\frac{7}{2}}+15=527

\newline

Answer:

Subtract $15$ : Subtract $15$ from both sides of the equation to isolate the term with the variable $x$ . $\newline$ $4x^{(7/2)} + 15 - 15 = 527 - 15$ $\newline$ $4x^{(7/2)} = 512$
Divide by $4$ : Divide both sides of the equation by $4$ to solve for $x^{\frac{7}{2}}$ . $\frac{4x^{\frac{7}{2}}}{4} = \frac{512}{4}$ $x^{\frac{7}{2}} = 128$]
Recognize power of $2$: Recognize that $128$ is a power of $2$. Specifically, $128 = 2^7$.$\newline$$x^{\frac{7}{2}} = 2^7$
Raise to power: To solve for $x$, we need to get rid of the exponent $(7/2)$. We can do this by raising both sides of the equation to the power of $(2/7)$.\[(x^{(7/2)})^{(2/7)} = (2^7)^{(2/7)} $x = 2^{7*(2/7)}$ $x = 2^2$
Calculate $x$ : Calculate $2^2$ to find the value of $x$ .
$x = 2^2$
$x = 4$