What is the answer to sqrt(x^2+81)=x+10 ?

The answer to sqrt(x^2+81)=x+10 is x=-19/20

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sqrt(x^2+81)=x+10

x^{2} + 81 = x + 10

x = - \frac{19}{20}

Decimal Notation

x = - 0.95

Solution steps

x^{2} + 81 = x + 10

Square both sides:

x^{2} + 81 = x^{2} + 20 x + 100

x^{2} + 81 = x^{2} + 20 x + 100

Solve

x^{2} + 81 = x^{2} + 20 x + 100 : x = - \frac{19}{20}

x = - \frac{19}{20}

Verify Solutions:

x = - \frac{19}{20}

True

The solution is

x = - \frac{19}{20}

3 x + 7 = x + 1

4 x^{2} - 20 x + 25 = 5 - 2 x

x + 1 = 3 + 2 x - 1

2 x - 5 = x - 4

x + 14 = x - 6

What is the answer to sqrt(x^2+81)=x+10 ?
The answer to sqrt(x^2+81)=x+10 is x=-19/20
Solve for x: sqrt(x^2+81)=x+10
The solution is x=-19/20