What is the answer to (x-5)^2=(x-8)^2 ?

The answer to (x-5)^2=(x-8)^2 is x= 13/2

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(x-5)^2=(x-8)^2

(x - 5)^{2} = (x - 8)^{2}

x = \frac{13}{2}

Decimal Notation

x = 6.5

Solution steps

(x - 5)^{2} = (x - 8)^{2}

Expand

(x - 5)^{2} : x^{2} - 10 x + 25

Expand

(x - 8)^{2} : x^{2} - 16 x + 64

x^{2} - 10 x + 25 = x^{2} - 16 x + 64

Move

25

to the right side

x^{2} - 10 x = x^{2} - 16 x + 39

Subtract

x^{2} - 16 x

from both sides

x^{2} - 10 x - (x^{2} - 16 x) = x^{2} - 16 x + 39 - (x^{2} - 16 x)

Simplify

6 x = 39

Divide both sides by

6

x = \frac{13}{2}

y, 10 x - 5 y = 30

x, x + y + z = 3

r, s = r θ

y, 6 x + 2 y = 8

y, 8 y = x^{4} + \frac{2}{x ^{2}}

What is the answer to (x-5)^2=(x-8)^2 ?
The answer to (x-5)^2=(x-8)^2 is x= 13/2
Solve for x: (x-5)^2=(x-8)^2
The solution is x= 13/2