Question

Solve by Completing the Square then identify the type of SOLUTIONS:
3x^2 - 12x - 45 = 0

Answer 1

Answer: x= 2 +
`\sqrt\\ 19` , x= 2 -
`\sqrt19\\`

Explanation:
`x_(1,\:2)=(-\left(-12\right)\pm √(\left(-12\right)^2-4\cdot \:3\left(-45\right)))/(2\cdot \:3)`

`x_(1,\:2)=(-\left(-12\right)\pm \:6√(19))/(2\cdot \:3)`

`x_1=(-\left(-12\right)+6√(19))/(2\cdot \:3),\:x_2=(-\left(-12\right)-6√(19))/(2\cdot \:3)`

`x=2+√(19),\:x=2-√(19)`