Question

Which of the following are solutions to the equation 3ˣ=2−ˣ+4?

a) x=−1
b) x=1
c) x=0
d) x=2

Answer 1

To find the solutions to the equation 3ˣ=2−ˣ+4, rearrange the equation and use the quadratic formula.

Step-by-step explanation:

To find the solutions to the equation 3ˣ=2−ˣ+4, we need to solve the equation for x. Rearranging the equation, we get x²+0.0211x-0.0211=0. We can then use the quadratic formula to find the solutions:

x = (-b±√(b²-4ac))/(2a)

Plugging in the values a=1, b=0.0211, and c=-0.0211, we can calculate the solutions to be approximately x=1 or x=-1.