Answer:
(-5, 0)
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)