What is the answer to sqrt(x-5)+7=x-3 ?

The answer to sqrt(x-5)+7=x-3 is x=(21+sqrt(21))/2

Solve for x: sqrt(x-5)+7=x-3

The solution is x=(21+sqrt(21))/2

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x - 5 + 7 = x - 3

x = \frac{21 + 21}{2}

Decimal Notation

x = 12.79128 \dots

Solution steps

x - 5 + 7 = x - 3

Remove square roots

x - 5 = x^{2} - 20 x + 100

Solve

x - 5 = x^{2} - 20 x + 100 : x = \frac{21 + 21}{2}, x = \frac{21 - 21}{2}

x = \frac{21 + 21}{2}, x = \frac{21 - 21}{2}

Verify Solutions:

x = \frac{21 + 21}{2}

True

, x = \frac{21 - 21}{2}

False

The solution is

x = \frac{21 + 21}{2}

y, x = 2 y + 1

4 a = 4

5 t + 6 = - 6

3 x + 17 - 4 x = 4 x + 1

5 - x + 10 = 7 - x

What is the answer to sqrt(x-5)+7=x-3 ?
The answer to sqrt(x-5)+7=x-3 is x=(21+sqrt(21))/2
Solve for x: sqrt(x-5)+7=x-3
The solution is x=(21+sqrt(21))/2