a student says that if 5x² = 20, then x must be equal to 2. do you agree or disagree with the student…
a student says that if 5x² = 20, then x must be equal to 2. do you agree or disagree with the student? justify your answer.
Answer
Explanation:
Step1: Solve the equation for x
Given $5x^{2}=20$. First, divide both sides by 5: $\frac{5x^{2}}{5}=\frac{20}{5}$, which simplifies to $x^{2} = 4$.
Step2: Find the values of x
Taking the square - root of both sides of $x^{2}=4$, we get $x=\pm\sqrt{4}$. So $x = 2$ or $x=-2$.
Answer:
Disagree. The solutions of the equation $5x^{2}=20$ are $x = 2$ and $x=-2$, not just $x = 2$.