which of the a values are solutions to the following equation?\na^2 = 6.4\nchoose all answers that apply:\na…

which of the a values are solutions to the following equation?\na^2 = 6.4\nchoose all answers that apply:\na a = -0.8\nb a = 0.8\nc a = -3.2\nd a = 3.2\ne none of the above

which of the a values are solutions to the following equation?\na^2 = 6.4\nchoose all answers that apply:\na a = -0.8\nb a = 0.8\nc a = -3.2\nd a = 3.2\ne none of the above

Answer

Explanation:

Step1: Solve for a

Take square - root of both sides of $a^{2}=6.4$. We know that if $x^{2}=y$ ($y\geq0$), then $x = \pm\sqrt{y}$. So $a=\pm\sqrt{6.4}$.

Step2: Check each option

  • Option A: $(-0.8)^{2}=0.64\neq6.4$.
  • Option B: $(0.8)^{2}=0.64\neq6.4$.
  • Option C: $(-3.2)^{2}=10.24\neq6.4$.
  • Option D: $(3.2)^{2}=10.24\neq6.4$.

Answer:

E. None of the above