Solve D=(-x^2)-4*1*(-3)

$$D = ( - x ^ { 2 } ) - 4 \cdot 1 \cdot ( - 3 )$$

Solve for D

$$D=12-x^{2}$$

Solution Steps

Multiply 4 and 1 to get 4.

$$D=-x^{2}-4\left(-3\right)$$

Multiply 4 and -3 to get -12.

$$D=-x^{2}-\left(-12\right)$$

The opposite of -12 is 12.

$$D=-x^{2}+12$$

Solve for x (complex solution)

$$x=-\sqrt{12-D}$$

$$x=\sqrt{12-D}$$

Solve for x

$$x=\sqrt{12-D}$$

$$x=-\sqrt{12-D}\text{, }D\leq 12$$