Question

3x^2+23x+14=0 Solve for x. Show your work.

Answer 1

-2/3

-7

Explanation:

Given in the question an expression,

3x² + 23x + 14 = 0

we will use quadratic formula to find the value of

x = -b ± √b² -4(a)(c) / 2a

here a = 3

b = 23

c = 14

plug values in the formula

x = -23 ± √23² -4(3)(14) / 2(3)

x = -23 ± √529 - 168 / 6

x = -23 ± 19 / 6

x =
`(-23-19)/(6)` or x =
`(-23 +19)/(6)`

x = -7 or x = -2/3