Since the user has not specified which problem to solve, I will solve the first problem listed in the worksheet: $4x^2 - 49 = 0$.
Step-by-step Solution:
1.
Identify the goal: We need to find the value of $x$ that makes the equation true. The method specified is "Solving Quadratics By Square Root".
2.
Isolate the $x^2$ term:
* The equation is $4x^2 - 49 = 0$.
* First, move the $-49$ to the other side by adding $49$ to both sides.
* $4x^2 = 49$.
* Next, get $x^2$ by itself. Since $x^2$ is being multiplied by $4$, we divide both sides by $4$.
* $x^2 = \frac{49}{4}$.
3.
Take the square root of both sides:
* To get $x$ out from the square, we take the square root of both sides.
*
Important: When you take the square root to solve an equation, you must remember that the answer can be positive or negative. So, we write $\pm$ (plus or minus).
* $x = \pm \sqrt{\frac{49}{4}}$.
4.
Simplify the square root:
* We can take the square root of the top and the bottom separately.
* $\sqrt{49} = 7$ (because $7 \times 7 = 49$).
* $\sqrt{4} = 2$ (because $2 \times 2 = 4$).
* So, $x = \pm \frac{7}{2}$.
5.
Final Answer Formulation:
* The solutions are $x = \frac{7}{2}$ and $x = -\frac{7}{2}$.
* These can also be written as decimals: $3.5$ and $-3.5$.
Final Answer:
$x = \pm \frac{7}{2}$
Parent Tip: Review the logic above to help your child master the concept of square root property worksheet.
