What is the answer to sqrt(105+5z-z^2)=z+9 ?

The answer to sqrt(105+5z-z^2)=z+9 is z=-8,z= 3/2

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sqrt(105+5z-z^2)=z+9

105 + 5 z - z^{2} = z + 9

z = - 8, z = \frac{3}{2}

Decimal Notation

z = - 8, z = 1.5

Solution steps

105 + 5 z - z^{2} = z + 9

Square both sides:

105 + 5 z - z^{2} = z^{2} + 18 z + 81

105 + 5 z - z^{2} = z^{2} + 18 z + 81

Solve

105 + 5 z - z^{2} = z^{2} + 18 z + 81 : z = - 8, z = \frac{3}{2}

z = - 8, z = \frac{3}{2}

Verify Solutions:

z = - 8

True

, z = \frac{3}{2}

True

The solutions are

z = - 8, z = \frac{3}{2}

x^{2} + b^{2} + x (1 - e) = x

x^{2} - 5 x - 2 = 3

22 - x = 2 + 3 x

x, x yz = 2

4 v - 31 + 6 = 5

What is the answer to sqrt(105+5z-z^2)=z+9 ?
The answer to sqrt(105+5z-z^2)=z+9 is z=-8,z= 3/2
Solve for z: sqrt(105+5z-z^2)=z+9
The solution is z=-8,z= 3/2