Final answer:
To solve the quadratic equation 9y²-30y+50=0, we can use the quadratic formula. The equation does not have real solutions.
Step-by-step explanation:
To solve the quadratic equation 9y²-30y+50=0, we can use the quadratic formula. The equation is already in the form ax²+bx+c=0, where a = 9, b = -30, and c = 50. Plugging these values into the quadratic formula, we get:
y = (-(-30) ± √((-30)² - 4(9)(50))) / (2(9))
Simplifying further, we have:
y = (30 ± √(900 - 1800)) / 18
y = (30 ± √(-900)) / 18
Since the discriminant (√(-900)) is negative, the quadratic equation has no real solutions. The equation does not intersect the x-axis.