To find the solution to the quadratic equation 2x^2 - 5x = 6, we need to solve the equation by factoring or using the quadratic formula.
To factor the equation, start by moving all terms to one side to set the equation equal to zero:
2x^2 - 5x - 6 = 0
We can factor this quadratic equation as (2x + 3)(x - 2) = 0.
Setting each factor equal to zero, we have:
2x + 3 = 0 OR x - 2 = 0
Solving each equation separately:
2x + 3 = 0
2x = -3
x = -3/2
x = -1.5
x - 2 = 0
x = 2
So the two solutions to the quadratic equation are x = -1.5 and x = 2.
Rounded to the nearest hundredth, the solutions are:
x = -1.50 and x = 2.00
Looking at the answer choices:
A. x = 0.89 - This is not a solution to the equation.
B. x = -1.03 - This is not a solution to the equation.
C. x = 1.03 - This is not a solution to the equation.
D. x = -0.89 - This is not a solution to the equation.
None of the answer choices match the solutions to the quadratic equation.
Thus, there is no solution listed among the answer choices.
Which of the following is a solution to the quadratic equation 2x^2 - 5x = 6? Assume that the solution has been rounded to the nearest hundredth, if applicable.
A. x = 0.89
B. x = -1.03
C. x = 1.03
D. x = -0.89
1 answer