The graph above is that of a quadratic function y = 2x2 - x - 6 The roots of the equation are
Question 1 Report
The graph above is that of a quadratic function y = 2x2 - x - 6
The roots of the equation are
Answer Details
To find the roots of a quadratic function, we need to set y to zero and solve for x. Therefore, we have:
2x² - x - 6 = 0
We can factorize this quadratic equation by splitting the middle term:
2x² - 4x + 3x - 6 = 0
2x(x - 2) + 3(x - 2) = 0
(2x + 3)(x - 2) = 0
Setting each factor to zero, we get:
2x + 3 = 0 or x - 2 = 0
Solving for x in each equation, we get:
x = -3/2 or x = 2
Therefore, the roots of the equation are -3/2 and 2.
So the correct answer is (B) -1.5, 2.
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