Using quadratic formulas to solve each equation.

Question

(x - 1)/2 - 4 = 0

Answer 1

To solve the equation (x - 1)/2 - 4 = 0 using quadratic formulas, we can first simplify the equation:

(x - 1)/2 - 4 = 0

Multiply both sides of the equation by 2 to eliminate the denominator:

2[(x - 1)/2 - 4] = 2(0)

(x - 1) - 8 = 0

x - 1 - 8 = 0

x - 9 = 0

Now, the equation is in the form ax^2 + bx + c = 0, where a = 1, b = -9, and c = 0.

To find the values of x that satisfy the equation, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values, we have:

x = (-(-9) ± √((-9)^2 - 4(1)(0))) / (2(1))

x = (9 ± √(81 - 0)) / 2

x = (9 ± √81) / 2

x = (9 ± 9) / 2

x = (9 + 9) / 2 or x = (9 - 9) / 2

x = 18 / 2 or x = 0 / 2

x = 9 or x = 0

So, the solutions to the equation (x - 1)/2 - 4 = 0 are x = 9 and x = 0.