Question

how many real solutions does the equation have?
$n^2 = 98$
no real solution one real solution two real solutions

Explanation:

Step1: Recall the square root property

For an equation of the form \(x^2 = a\) (where \(a>0\)), the solutions are \(x=\sqrt{a}\) and \(x = -\sqrt{a}\).
Here, the equation is \(n^2=98\), and \(98>0\).

Step2: Find the solutions

Using the square root property, we take the square root of both sides. So \(n=\sqrt{98}\) or \(n = -\sqrt{98}\). These are two distinct real numbers.

Answer:

two real solutions