What is the answer to (((x-2)^2))/7 =(49)/((x-2)) ?

The answer to (((x-2)^2))/7 =(49)/((x-2)) is x=9,x=-3/2+i(7sqrt(3))/2 ,x=-3/2-i(7sqrt(3))/2

Solve for x: (((x-2)^2))/7 =(49)/((x-2))

The solution is x=9,x=-3/2+i(7sqrt(3))/2 ,x=-3/2-i(7sqrt(3))/2

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\frac{( ( x - 2 ) ^{2} )}{7} = \frac{49}{( x - 2 )}

x = 9, x = - \frac{3}{2} + i \frac{7 3}{2}, x = - \frac{3}{2} - i \frac{7 3}{2}

Solution steps

\frac{( ( x - 2 ) ^{2} )}{7} = \frac{49}{( x - 2 )}

Cross multiply

(x - 2)^{3} = 343

Solve

(x - 2)^{3} = 343 : x = 9, x = - \frac{3}{2} + i \frac{7 3}{2}, x = - \frac{3}{2} - i \frac{7 3}{2}

x = 9, x = - \frac{3}{2} + i \frac{7 3}{2}, x = - \frac{3}{2} - i \frac{7 3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 9, x = - \frac{3}{2} + i \frac{7 3}{2}, x = - \frac{3}{2} - i \frac{7 3}{2}

\frac{x + 1}{x} = \frac{a + 1}{a}

\frac{x ^{2} + 1}{x ^{2}} = 2

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

\frac{6 + 5}{x} = \frac{71}{4}

k = \frac{( a \cdot v ^{2} )}{( b + x ^{2} )}

What is the answer to (((x-2)^2))/7 =(49)/((x-2)) ?
The answer to (((x-2)^2))/7 =(49)/((x-2)) is x=9,x=-3/2+i(7sqrt(3))/2 ,x=-3/2-i(7sqrt(3))/2
Solve for x: (((x-2)^2))/7 =(49)/((x-2))
The solution is x=9,x=-3/2+i(7sqrt(3))/2 ,x=-3/2-i(7sqrt(3))/2