You have to solve the given expression for q:
This expression has a quadratic term, which means that it is a quadratic equation. To find the value or values of q, you have to use the quadratic equation, using "q" as the variable instead of "x"
Where
a is the coefficient of the quadratic term
b is the coefficient of the q term
c is the constant
- First, zero the equation by passing 3q to the left side of the equal sign:
For this equation the coefficients are:
a= 2
b= -3
c= -8
Replace them in the formula and solve:
Next, to determine each possible value of q, you have to solve the sum and difference separately:
Sum
Difference
The possible solutions for the given equation are q=2.9 and q=-1.4