How to solve y = sqrt(4x + 3)

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 y = sqrt(4x + 3) | Equatix

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3(r+2s)=2t-4

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Question

$$y=\sqrt{4x+3}$$

Solve for x

$x=\frac{y^{2}-3}{4}$
$y\geq 0$

Steps for Solving Radical Equations

Swap sides so that all variable terms are on the left hand side.

$$\sqrt{4x+3}=y$$

Square both sides of the equation.

$$4x+3=y^{2}$$

Subtract $3$ from both sides of the equation.

$$4x+3-3=y^{2}-3$$

Subtracting $3$ from itself leaves $0$.

$$4x=y^{2}-3$$

Divide both sides by $4$.

$$\frac{4x}{4}=\frac{y^{2}-3}{4}$$

Dividing by $4$ undoes the multiplication by $4$.

$$x=\frac{y^{2}-3}{4}$$

Show Solution

Solve for y

$y=\sqrt{4x+3}$
$x\geq -\frac{3}{4}$

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Example

Question

Solve for x

Steps for Solving Radical Equations

Solve for y