3x^2+23x+14=0 solve for x. show your work.

-2/3

-7

Step-by-step explanation:

Given in the question an expression,

3x² + 23x + 14 = 0

we will use quadratic formula to find the value of

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 = or x =

x = -7 or x = -2/3

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet