Solve y=-3/2+sqrt{25/4-(-2)^2}

$$y = - \frac { 3 } { 2 } + \sqrt { \frac { 25 } { 4 } - ( - 2 ) ^ { 2 } }$$

Solve for y

$$y=0$$

Steps for Solving Linear Equation

Calculate -2 to the power of 2 and get 4.

$$y=-\frac{3}{2}+\sqrt{\frac{25}{4}-4}$$

Convert 4 to fraction \frac{16}{4}.

$$y=-\frac{3}{2}+\sqrt{\frac{25}{4}-\frac{16}{4}}$$

Since \frac{25}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$y=-\frac{3}{2}+\sqrt{\frac{25-16}{4}}$$

Subtract 16 from 25 to get 9.

$$y=-\frac{3}{2}+\sqrt{\frac{9}{4}}$$

Rewrite the square root of the division \frac{9}{4} as the division of square roots \frac{\sqrt{9}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$y=-\frac{3}{2}+\frac{3}{2}$$

Add -\frac{3}{2} and \frac{3}{2} to get 0.

$$y=0$$

Assign y

$$y≔0$$