What is the answer to sqrt(x^2+13)=8-x ?

The answer to sqrt(x^2+13)=8-x is x= 51/16

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sqrt(x^2+13)=8-x

x^{2} + 13 = 8 - x

x = \frac{51}{16}

Decimal Notation

x = 3.1875

Solution steps

x^{2} + 13 = 8 - x

Square both sides:

x^{2} + 13 = 64 - 16 x + x^{2}

x^{2} + 13 = 64 - 16 x + x^{2}

Solve

x^{2} + 13 = 64 - 16 x + x^{2} : x = \frac{51}{16}

x = \frac{51}{16}

Verify Solutions:

x = \frac{51}{16}

True

The solution is

x = \frac{51}{16}

\frac{8 x ^{2} + 1}{( x )} = \frac{5}{2}

c \cdot x - 10 x + 21 = 0

x^{\frac{2}{3}} + 2 x^{\frac{1}{3}} - 8 = 0

\frac{- ( 2 x + 1 )}{3 + 2} = 0

x = 0.25

What is the answer to sqrt(x^2+13)=8-x ?
The answer to sqrt(x^2+13)=8-x is x= 51/16
Solve for x: sqrt(x^2+13)=8-x
The solution is x= 51/16