Solve the following equation by using the quadratic formula. Please show all your work to receive full credit. −3x2+10x−3=0 You can upload a photo of your work using the picture icon or using math symbols with the E. (3 points)
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In the given equation, a = -3, b = 10, and c = -3.
Substituting these values into the quadratic formula, we have:
x = (-10 ± √(10^2 - 4(-3)(-3))) / (2(-3))
Simplifying further:
x = (-10 ± √(100 - 36)) / (-6)
x = (-10 ± √64) / (-6)
x = (-10 ± 8) / (-6)
Now we have two possible solutions:
x = (-10 + 8) / (-6) = -2 / (-6) = 1/3
x = (-10 - 8) / (-6) = -18 / (-6) = 3
Therefore, the solutions to the equation −3x^2+10x−3=0 using the quadratic formula are x = 1/3 and x = 3.