What are the x intercepts of the quadratic equation below? Y = (2x - 3) (x - 6)

Question

A. (-3, 0) and (-6, 0)
B. (1.5, 0) and (6, 0)
C. (-1.5, 0) and (-6, 0)
D. (3,0) and (6, 0)

Answer 1

To find the x-intercepts of the quadratic equation \( y = (2x - 3)(x - 6) \), we need to set \( y \) to zero and solve for \( x \):

\[ 0 = (2x - 3)(x - 6) \]

This equation will be zero if either factor is zero:

1. Setting \( 2x - 3 = 0 \): \[ 2x = 3 \implies x = \frac{3}{2} = 1.5 \]

2. Setting \( x - 6 = 0 \): \[ x = 6 \]

So, the x-intercepts are \( (1.5, 0) \) and \( (6, 0) \).

The correct answer is: B. (1.5, 0) and (6, 0).