How to solve a(x)^(2)+c=0

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve a(x)^(2)+c=0 | Equatix

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Question

$$a { x }^{ 2 } +c=0$$

Solve for a (complex solution)

$\left\{\begin{matrix}a=-\frac{c}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&c=0\text{ and }x=0\end{matrix}\right.$

Steps for Solving Linear Equation

Subtract $c$ from both sides. Anything subtracted from zero gives its negation.

$$ax^{2}=-c$$

The equation is in standard form.

$$x^{2}a=-c$$

Divide both sides by $x^{2}$.

$$\frac{x^{2}a}{x^{2}}=-\frac{c}{x^{2}}$$

Dividing by $x^{2}$ undoes the multiplication by $x^{2}$.

$$a=-\frac{c}{x^{2}}$$

Show Solution

Solve for a

$\left\{\begin{matrix}a=-\frac{c}{x^{2}}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&c=0\text{ and }x=0\end{matrix}\right.$

Steps for Solving Linear Equation

Subtract $c$ from both sides. Anything subtracted from zero gives its negation.

$$ax^{2}=-c$$

The equation is in standard form.

$$x^{2}a=-c$$

Divide both sides by $x^{2}$.

$$\frac{x^{2}a}{x^{2}}=-\frac{c}{x^{2}}$$

Dividing by $x^{2}$ undoes the multiplication by $x^{2}$.

$$a=-\frac{c}{x^{2}}$$

Show Solution

Solve for c

$c=-ax^{2}$

Show Solution

Example

Question

Solve for a (complex solution)

Steps for Solving Linear Equation

Solve for a

Steps for Solving Linear Equation

Solve for c

Solution Steps