Which of the following is a solution to the quadratic equation 2x2−5x=6
? Assume that the solution has been rounded to the nearest hundredth, if applicable. (1 point)
Responses
x=−1.03
x is equal to negative 1 point 0 3
x=1.03
x is equal to 1 point 0 3
x=0.89
x is equal to 0 point 8 9
x=−0.89
To find the solutions to the quadratic equation 2x^2 - 5x = 6, we can set the equation equal to zero and solve for x.
2x^2 - 5x - 6 = 0
To factorize the equation, we need to find two numbers whose product is -12 (-6*2) and whose sum is -5. The numbers are -6 and 2.
2x^2 - 6x + 2x - 6 = 0
2x(x - 3) + 2(x - 3) = 0
(2x + 2)(x - 3) = 0
Setting each factor equal to zero, we get:
2x + 2 = 0 --> 2x = -2 --> x = -1
x - 3 = 0 --> x = 3
So the solutions to the equation are x = -1 and x = 3.
Among the given options, the solution to the quadratic equation is:
x = -1.03