What is the answer to 1/(2(x+5)^2+2)=42.5 ?

The answer to 1/(2(x+5)^2+2)=42.5 is x=-5+i(2sqrt(1785))/(85),x=-5-i(2sqrt(1785))/(85)

Solve for x: 1/(2(x+5)^2+2)=42.5

The solution is x=-5+i(2sqrt(1785))/(85),x=-5-i(2sqrt(1785))/(85)

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\frac{1}{2 ( x + 5 ) ^{2} + 2} = 42.5

x = - 5 + i \frac{2 1785}{85}, x = - 5 - i \frac{2 1785}{85}

Solution steps

\frac{1}{2 ( x + 5 ) ^{2} + 2} = 42.5

Simplify

\frac{1}{2 ( x + 5 ) ^{2} + 2} : \frac{1}{2 x ^{2} + 20 x + 52}

\frac{1}{2 x ^{2} + 20 x + 52} = 42.5

Multiply both sides by

2 x^{2} + 20 x + 52

1 = 42.5 (2 x^{2} + 20 x + 52)

Solve

1 = 42.5 (2 x^{2} + 20 x + 52) : x = - 5 + i \frac{2 1785}{85}, x = - 5 - i \frac{2 1785}{85}

x = - 5 + i \frac{2 1785}{85}, x = - 5 - i \frac{2 1785}{85}

x^{- 3} = 2

x, \frac{y}{x} = 5

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

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

\frac{3}{6} = \frac{2}{x}

What is the answer to 1/(2(x+5)^2+2)=42.5 ?
The answer to 1/(2(x+5)^2+2)=42.5 is x=-5+i(2sqrt(1785))/(85),x=-5-i(2sqrt(1785))/(85)
Solve for x: 1/(2(x+5)^2+2)=42.5
The solution is x=-5+i(2sqrt(1785))/(85),x=-5-i(2sqrt(1785))/(85)