Questions: Solve. 4 x^2 - 28 = 0

Transcript text: Solve. \[ 4 x^{2}-28=0 \]

Solution

Solution Steps

To solve the quadratic equation $4x^2 - 28 = 0$ , we can first isolate the $x^2$ term by adding 28 to both sides and then dividing by 4. After that, we take the square root of both sides to solve for $x$ .

Step 1: Set Up the Equation

We start with the quadratic equation: $4x^2 - 28 = 0$

Step 2: Isolate

x^2

To isolate $x^2$ , we add 28 to both sides: $4x^2 = 28$

Step 3: Divide by 4

Next, we divide both sides by 4: $x^2 = 7$

Step 4: Take the Square Root

Taking the square root of both sides gives us: $x = \pm \sqrt{7}$

Final Answer

The solutions to the equation are: $\boxed{x = 2.6458} \quad \text{and} \quad \boxed{x = -2.6458}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >