Question

Solve the quadratic equation: 5m^2 - 35m + 60 = 0 using the quadratic formula.

a) m = 3, m = 4
b) m = 6, m = 10
c) m = 2, m = 5
d) m = -2, m = -3

Answer 1

To solve the quadratic equation 5m^2 - 35m + 60 = 0 using the quadratic formula, we substitute the values of a, b, and c into the formula and simplify the equation to find the solutions.

Step-by-step explanation:

To solve the quadratic equation 5m^2 - 35m + 60 = 0 using the quadratic formula, we first identify the values of a, b, and c. In this case, a = 5, b = -35, and c = 60. We then substitute these values into the quadratic formula:

m = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values, we get:

m = (-(-35) ± √((-35)^2 - 4(5)(60))) / (2(5))

Simplifying further, we have:

m = (35 ± √(1225 - 1200)) / 10

m = (35 ± √25) / 10

m = (35 ± 5) / 10

Simplifying the two possible solutions, we have:

m = 3 or m = 4