Question

Y +18y−10=0 using factorization or quadratic formula

a. y=−20,2
b. y=10,−8
c. y=−10,8
d. y=20,−2

Answer 1

To solve the quadratic equation Y + 18y - 10 = 0, we can use either factorization or the quadratic formula. Let's use the quadratic formula to find the solutions. The solutions are Y ≈ 0.539.

Step-by-step explanation:

To solve the quadratic equation Y + 18y - 10 = 0, we can use either factorization or the quadratic formula. Let's use the quadratic formula to find the solutions.

The quadratic formula is given by:

y = (-b ± √(b² - 4ac)) / (2a)

In this quadratic equation, the coefficients are a = 1, b = 18, and c = -10. Substituting the values into the formula:

Y = (-18 ± √(18² - 4*1*(-10))) / (2*1)

Simplifying further:

Y = (-18 ± √(324 + 40)) / 2

Y = (-18 ± √364) / 2

Y = (-18 ± 19.078) / 2

The solutions are therefore:

Y ≈ 0.539 (rounded to 3 decimal places)