Solution Sets of Quadratic Equations Quick Check

Question

4 of 54 of 5 Items

Question
Show how many solutions are in the solution set for the equation 3x2=21.(1 point)
Responses

one
one

infinitely many
infinitely many

two
two

zero
zero
Skip to navigation

Answer 1

To determine how many solutions the equation \(3x^2 = 21\) has, we can start by rewriting the equation in standard form.

1. Divide both sides by 3: \[ x^2 = 7 \]

2. Now, we can solve for \(x\) by taking the square root of both sides: \[ x = \pm \sqrt{7} \]

This gives us two solutions: \(x = \sqrt{7}\) and \(x = -\sqrt{7}\).

Therefore, the equation \(3x^2 = 21\) has two solutions.

The correct response is: two