Solve Delta=x^2-4(-x^2)(3)

$$\Delta = x ^ { 2 } - 4 ( - x ^ { 2 } ) ( 3 )$$

Solve for Δ

$$\Delta =13x^{2}$$

Solution Steps

Multiply 4 and 3 to get 12.

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

Multiply -1 and 12 to get -12.

$$\Delta =x^{2}-12\left(-1\right)x^{2}$$

Multiply -12 and -1 to get 12.

$$\Delta =x^{2}+12x^{2}$$

Combine x^{2} and 12x^{2} to get 13x^{2}.

$$\Delta =13x^{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{13\Delta }}{13}$$

$$x=\frac{\sqrt{13\Delta }}{13}$$

Solve for x

$$x=\frac{\sqrt{13\Delta }}{13}$$

$$x=-\frac{\sqrt{13\Delta }}{13}\text{, }\Delta \geq 0$$