Solve z=frac{29,5+sqrt{(19,5)^2-4*90}}{1}

$$z = \frac { 29,5 + \sqrt { ( 19,5 ) ^ { 2 } - 4 \cdot 90 } } { 1 }$$

Solve for z

$$z=34$$

Steps for Solving Linear Equation

Calculate 19,5 to the power of 2 and get 380,25.

$$z=\frac{29,5+\sqrt{380,25-4\times 90}}{1}$$

Multiply 4 and 90 to get 360.

$$z=\frac{29,5+\sqrt{380,25-360}}{1}$$

Subtract 360 from 380,25 to get 20,25.

$$z=\frac{29,5+\sqrt{20,25}}{1}$$

Calculate the square root of 20,25 and get 4,5.

$$z=\frac{29,5+4,5}{1}$$

Add 29,5 and 4,5 to get 34.

$$z=\frac{34}{1}$$

Anything divided by one gives itself.

$$z=34$$

Assign z

$$z≔34$$