The equation given above is written here below with all the terms transposed to only one side of the equation.
2x² + 3x + 8 = 0
The quadratic formula used for the determination of the roots is,
x = (-b +/- sqrt (b² - 4ac)) / 2a
In the quadratic equation above, we have the numerical coefficients.
a = 2
b = 3
c = 8
Substituting the known values,
x = (-3 +/- sqrt (3² - 4(2)(8))/ (2)(2)
x = -0.75 + 1.854i and x = -0.75 - 1.854i
By the calculated roots above, it is known that the roots are imaginary.
Answer:25 months
Step-by-step explanation: Let's make the equations first,
Plan A: 70x Plan B: 50x+500
Now we make it into an equivalent equation:
70x=50x+500
Then we solve:
70x=50x+500
-50x -50x
20x=500
÷20 ÷20
x=25
To check if it's correct, we just plug it in:
70(25)=50(25)+500
1750=1750
Setup Equation Based Off Merits
2 x 10 4th power - 7 3rd power
2 x 10,000 - 343
20,000 - 343
19,657
I think this is the answer to your problem. Hope this helped!
-TTL