What are the solution(s) to the quadratic equation 40 − x2 = 0? x = ±2 x = ±4 x = ±2 x = ±4

Accepted Solution

Answer: [tex]x=\±2\sqrt{10}[/tex]Step-by-step explanation: To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below: - Subtract 40 from both sides of the equation. - Multiply both sides of the equation by -1 - Apply square root to both sides of the equation. Therefore, by applyin the steps above, you obtain: [tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]