Answer:
(-1 + √2) and (-1 - √2)
Step-by-step explanation:
Given in the question the equation
y = x² + 2x - 1
To find the x-intercept, substitute in 0 for y
0 = x² + 2x - 1
To find value of x use quadratic equation
x = -b ± √b²-4ac / 2a
here a = 1
b = 2
c = -1
x1 = -2 + √2²-4(1)(-1) / 2(1)
= -2 + 2√2 / 2
= -1 + √2
x2 = -2 - √2²-4(1)(-1) / 2(-1)
= -2 - 2√2 / -2
= -1 - √2
