Solving the following equation will require you to use the quadratic formula. Solve the equation for θ between 0° and 360°, and round your answers to the nearest tenth of a degree.
A)65.1°, 294.9°
B)65.7°, 294.3°
C)66.5°, 293.5°
D)65.3°, 294.7°
E)65.5°, 294.5°

Question

Solving the following equation will require you to use the quadratic formula. Solve the equation for θ  between 0° and 360°, and round your answers to the nearest tenth of a degree.  ​
A)65.1°, 294.9° 
B)65.7°, 294.3° 
C)66.5°, 293.5° 
D)65.3°, 294.7° 
E)65.5°, 294.5°

Quizplus · Accepted Answer

Using the quadratic formula, we get:
$	heta=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$
$	heta=\frac{-10\pm\sqrt{10^2-4(1)(-24)}}{2(1)}$
$	heta=\frac{-10\pm\sqrt{256}}{2}$
$	heta=\frac{-10\pm16}{2}$
So, $	heta_1=3$ and $	heta_2=-13$
Since we only want solutions between $0°$ and $360°$, we add $360°$ to $	heta_2$, and we get $	heta_2=347°$
Rounding to the nearest tenth gives us $	heta_1=3.0°$ and $	heta_2=347.0°$
Therefore, the answer is B: $65.7°$, $294.3°$

Solving the Following Equation Will Require You to Use the Quadratic