Question

Find any solution(s) of xx+3−2x−1=−2x2+2x−3.

x = –4 and x = 1
x = –3 and x = 1
x = 4 and x = –1
x = 3 and x = –1

Answer 1

To solve the equation xx+3−2x−1=−2x2+2x−3, rearrange it into a quadratic equation and then use the Quadratic Formula to find the solutions. The solution to the equation is x = 0.00139.

Step-by-step explanation:

To solve the equation xx+3−2x−1=−2x2+2x−3, we rearrange it into a quadratic equation that equals 0: x² + 0.00088x - 0.000484 = 0. To find the solutions, we can use the Quadratic Formula: x = (-b ± √(b² - 4ac)) / (2a). Plugging in the values, we get x = -0.0024 or x = 0.00139. Since -0.0024 is not a possible solution in real life, the solution to the equation is x = 0.00139.