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

Question

asked May 3, 2020 139k views

2 Answers

Gizmo · Answer 1 · 2020-05-09T17:56:41+0000

Answer:
$x=\±2√(10)$

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:

$40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\√(x^2)=\±√(40)\\\\x=\±2√(10)$