Question

Using the quadratic formula, what are the solutions to x2 – 3x = -2?

Answer 1

`x=1,\: x=2`

Explanation:

To be honest, you don't need the quadratic formula as you can just factor the polynomial after setting it equal to 0:

`x^2-3x=-2\\\\x^2-3x+2=0\\\\(x-1)(x-2)=0\\\\x=1,\: x=2`

If you really need to use the quadratic formula, here's the process:

`ax^2+bx+c=0\\\\x^2-3x+2=0\\\\x=(-b\pm√(b^2-4ac))/(2a)\\\\x=(-(-3)\pm√((-3)^2-4(1)(2)))/(2(1))\\\\x=(3\pm√(9-8))/(2)\\\\x=(3\pm√(1))/(2)\\\\x=(3\pm1)/(2)\\x_1=(3-1)/(2)\\ \\x_1=(2)/(2)\\\\x_1=1\\\\x_2=(3+1)/(2)\\\\x_2=(4)/(2)\\ \\x_2=2`