what are the solution(s) to the quadratic equation 40 - x² = 0?\no x = ±2√10\no x = ±4√10\no x = ±2√5\no x =…

what are the solution(s) to the quadratic equation 40 - x² = 0?\no x = ±2√10\no x = ±4√10\no x = ±2√5\no x = ±4√5

what are the solution(s) to the quadratic equation 40 - x² = 0?\no x = ±2√10\no x = ±4√10\no x = ±2√5\no x = ±4√5

Answer

Explanation:

Step1: Isolate the variable term

Add $x^{2}$ to both sides of the equation $40 - x^{2}=0$. We get $x^{2}=40$.

Step2: Solve for x

Take the square - root of both sides. Since $x^{2}=40$, then $x=\pm\sqrt{40}$. Simplify $\sqrt{40}=\sqrt{4\times10}=2\sqrt{10}$. So $x = \pm2\sqrt{10}$.

Answer:

$x=\pm2\sqrt{10}$