Question

Using the quadratic formula, which of the following are the zeros of the

quadratic equation below?
y = 3x² - 10x+5

A. x-5± √50
3
B. x-5± √10
3
c. x=-5± √10
3
D. x--5+ √50
3

Answer 1

Explanation:

The quadratic formula is used to find the zeros of a quadratic equation. The zeros are the values of x that make y equal to zero. The quadratic formula is:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

For the equation y = 3x² - 10x + 5, we have:

a = 3 b = -10 c = 5

Substituting these values into the quadratic formula, we get:

x = (-(-10) ± sqrt((-10)² - 4(3)(5))) / 2(3)

Simplifying this expression gives us:

x = (10 ± sqrt(100 - 60)) / 6

x = (10 ± sqrt(40)) / 6

x = (10 ± 2sqrt(10)) / 6

x = (5 ± sqrt(10)) / 3

Therefore, the zeros of the quadratic equation y = 3x² - 10x + 5 are (5 + sqrt(10))/3 and (5 - sqrt(10))/3.

or b