Question

X(2x - 3) = 6

Step 1:
a = x
b=2
C = 3

Plug into quadratic formula: [

Step 2: Show work and solve

Step 3: Solution
X = -1.137
X = 2.637

Answer 1

To solve the equation x(2x - 3) = 6 using the quadratic formula, let's follow the steps:

Step 1: Identify the coefficients
a = 2
b = -3
c = -6

Step 2: Apply the quadratic formula
The quadratic formula is given by: x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we get:
x = (-(-3) ± √((-3)² - 4 * 2 * (-6))) / (2 * 2)

Simplifying further:
x = (3 ± √(9 + 48)) / 4
x = (3 ± √57) / 4

Step 3: Find the solutions
x = (3 + √57) / 4 ≈ 2.637
x = (3 - √57) / 4 ≈ -1.137

Therefore, the solutions to the equation x(2x - 3) = 6 are approximately x = -1.137 and x = 2.637.