Solve the following equation using the quadratic formula. 3x2+10x−8=0
(1 point)
Responses
x=−2
and x = 43
x is equal to negative 2 and x = 43
x=23
and x = −4
x is equal to 2 thirds and x = −4
x=−23
and x = 4
x is equal to negative 2 thirds and x = 4
x=1
and x = −83
None of the provided options is correct.
The correct solutions using the quadratic formula are:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, a = 3, b = 10, and c = -8.
So we have:
x = (-10 ± √(10^2 - 4(3)(-8)))/(2(3))
x = (-10 ± √(100 + 96))/(6)
x = (-10 ± √(196))/(6)
x = (-10 ± 14)/(6)
Simplifying further, we have:
x = (-10 + 14)/6 = 4/6 = 2/3
x = (-10 - 14)/6 = -24/6 = -4
The correct solutions are x = 2/3 and x = -4.