Question

Use quadratic formula to solve the following equation​

Answer 1

9514 1404 393

Answer:

x = 2 or x = 9

Explanation:

To use the quadratic formula, we first need the equation in standard form for a quadratic. We can get there by multiplying the equation by 3(x -3).

2(3) +4(3(x -3)) = (x +4)(x -3)

6 +12x -36 = x² +x -12

x² -11x +18 = 0

Using the quadratic formula to find the solutions, we have ...

`x=(-b\pm√(b^2-4ac))/(2a)=(-(-11)\pm√((-11)^2-4(1)(18)))/(2(1))\\\\x=(11\pm√(49))/(2)=\{2,9\}`

The solutions are x=2 and x=9.