What is the answer to sqrt(x-5)*sqrt(x-3)=3 ?

The answer to sqrt(x-5)*sqrt(x-3)=3 is x=4+sqrt(10)

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sqrt(x-5)*sqrt(x-3)=3

x - 5 \cdot x - 3 = 3

x = 4 + 10

Decimal Notation

x = 7.16227 \dots

Solution steps

x - 5 x - 3 = 3

Square both sides:

x^{2} - 8 x + 15 = 9

x^{2} - 8 x + 15 = 9

Solve

x^{2} - 8 x + 15 = 9 : x = 4 + 10, x = 4 - 10

x = 4 + 10, x = 4 - 10

Verify Solutions:

x = 4 + 10

True

, x = 4 - 10

False

The solution is

x = 4 + 10

432 = (b + 18) (b - 18)

x + x = 272

x + x = 240

a (x) = x + 36

x + 1 + 1 = x - 40

What is the answer to sqrt(x-5)*sqrt(x-3)=3 ?
The answer to sqrt(x-5)*sqrt(x-3)=3 is x=4+sqrt(10)
Solve for x: sqrt(x-5)*sqrt(x-3)=3
The solution is x=4+sqrt(10)