Question

What is the most appropriate method to solve quadratic equation x² -2= 2?
A.by extracting the square root
B.by factoring
C.by completing the square
D.by using the quadratic formula

Answer 1

Answer:

A is the most appropriate method.

Step-by-step explanation:

x^2 -2 = 2

x^2 = 2+2 = 4

x = √4

= 2

Answer 2

Given,

$\[f\left( x \right) \Rightarrow {x^2} - 2 = 2\]$

Solution,

Know that a quadratic equation is in the form of $\[a{x^2} + bx + c = 0\]$.

Therefore,

$\[\begin{array}{l} \Rightarrow {x^2} - 2 = 2\\ \Rightarrow {x^2} = 2 + 2\\ \Rightarrow {x^2} = 4\\ \Rightarrow x = \pm 2\end{array}\]$

Hence, the correct option is (A) i.e. by extracting the square root.