Question

One x intercept for a parabola is at the point (1,0). Use the factor method to find the other x-intercept for the parabola defined by this equation: y= 2x2 -x-10 separate the values with a comma.

Answer 1

Answer:

(-5, 0)

Step-by-step explanation:

One x intercept for a parabola is at the point (1,0). Use the factor method to find the other x-intercept for the parabola defined by this equation: y= 2x² + 8x -10 separate the values with a comma.

Solution:

Parabola is the locus of a point such that its distance from a fixed straight line called the directrix is equal to its distance from a fixed point called the focus.

Given the parabola equation y= 2x² + 8x - 10. The x intercept is the value of x when y = 0, hence to find the x intercept we substitute y = 0. Therefore:

2x² + 8x - 10 = 0

2x² + 10x - 2x - 10 = 0

2x(x + 5) -2(x + 5) = 0

(2x - 2)(x + 5) = 0

2x - 2 = 0 or x + 5 = 0

x = 1 or x = -5

Hence the other x intercept is (-5, 0)