Question

drag and drop the following choices into the boxes given below.

quadratic equation
\\(x^2 = 16\\)
\\(x^2 - 25 = 0\\)
\\(5x^2 - 245 = 0\\)

choices:

• \\(4\\) or \\(-4\\)
• \\(5\\) or \\(-5\\)
• \\(7\\) or \\(-7\\)
• a polynomial equation in which the highest power of the variable is two.

Explanation:

Define quadratic equation

Using the Quadratic Equations knowledge point

$$ ax^2 + bx + c = 0 \quad (a eq 0) $$

A polynomial equation in which the highest power of the variable is two.

Solve first equation

Using the Quadratic Equations knowledge point

$$
LATEXBLOCK0
$$

Solve second equation

Using the Difference of Squares knowledge point

$$
LATEXBLOCK1
$$

Solve third equation

Using the Quadratic Equations knowledge point

$$
LATEXBLOCK2
$$

Answer:

Left Item	Matched Choice
\(x^2 = 16\)	\(4\) or \(-4\)
\(x^2 - 25 = 0\)	\(5\) or \(-5\)
\(5x^2 - 245 = 0\)	\(7\) or \(-7\)