Question

What are the two equations for 2x2−6x−9=0

Answer 1

`x=(3\left(1+√(3)\right))/(2),\:x=(3\left(1-√(3)\right))/(2)`

Explanation:

`x_(1,\:2)=(-\left(-6\right)\pm √(\left(-6\right)^2-4\cdot \:2\left(-9\right)))/(2\cdot \:2) < - InsertQuadraticFormula`

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

`x_1=(-\left(-6\right)+6√(3))/(2\cdot \:2),\:x_2=(-\left(-6\right)-6√(3))/(2\cdot \:2) < - Separate THE Solutions`

`x=(3\left(1+√(3)\right))/(2),\:x=(3\left(1-√(3)\right))/(2)`