What is the answer to (g-7)/4 = 2/(g-7) ?

The answer to (g-7)/4 = 2/(g-7) is g=2sqrt(2)+7,g=-2sqrt(2)+7

Solve for g: (g-7)/4 = 2/(g-7)

The solution is g=2sqrt(2)+7,g=-2sqrt(2)+7

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\frac{g - 7}{4} = \frac{2}{g - 7}

g = 22 + 7, g = - 22 + 7

Decimal Notation

g = 9.82842 \dots, g = 4.17157 \dots

Solution steps

\frac{g - 7}{4} = \frac{2}{g - 7}

Cross multiply

(g - 7)^{2} = 8

Solve

(g - 7)^{2} = 8 : g = 22 + 7, g = - 22 + 7

g = 22 + 7, g = - 22 + 7

Verify Solutions

Find undefined (singularity) points:

g = 7

Combine undefined points with solutions:

g = 22 + 7, g = - 22 + 7

2 π r^{2} - \frac{2000}{r} = 0

0.3 = \frac{2 x}{x ^{2} + 4}

\frac{2 b}{b} = \frac{b}{b}

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

\frac{1}{x + 4} = 0.0025

What is the answer to (g-7)/4 = 2/(g-7) ?
The answer to (g-7)/4 = 2/(g-7) is g=2sqrt(2)+7,g=-2sqrt(2)+7
Solve for g: (g-7)/4 = 2/(g-7)
The solution is g=2sqrt(2)+7,g=-2sqrt(2)+7