Question

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

Answer 1

Step-by-step explanation:

Nubra Valley in Ladakh. Nubra Valley | #1 of 30 Most Beautiful Places in India. ...

Khajjiar in Himachal Pradesh. ...

Valley of Flowers in Uttarakhand. ...

Dal Lake in Srinagar. ...

Munnar in Kerala. ...

Dudhsagar Falls in Goa. ...

Yumthang Valley in Sikkim. ...

Tawang in Arunachal Pradesh.

Answer 2

Answer:

$x=1,\: x=2$

Step-by-step 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:

$ax^2+bx+c=0\\\\x^2-3x+2=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(2)}}{2(1)}\\\\x=\frac{3\pm\sqrt{9-8}}{2}\\\\x=\frac{3\pm\sqrt{1}}{2}\\\\x=\frac{3\pm1}{2}\\x_1=\frac{3-1}{2}\\ \\x_1=\frac{2}{2}\\\\x_1=1\\\\x_2=\frac{3+1}{2}\\\\x_2=\frac{4}{2}\\ \\x_2=2$