Question

What are the solutions to the equation x2 - 4x = -1?​

Answer 1

Answer:

x= $2-\sqrt{3}$          and          x=$2+\sqrt{3}$

Step-by-step explanation:

- transfer the -1 to the other side so that the equation reads as $x^{2} -4x+1$

- factor! think about what numbers add -4 but also multiply to be 1

- you may then realize that there are no numbers with those characteristics

- since that is the case, we have to use the quadratic formula, which is:

               $\frac{-b+\sqrt{b^{2}-4ac }}{y}$        and         $\frac{-b-\sqrt{b^{2}-4ac }}{y}$

- the equation is shown as $a^{2}+b^{2}=c^{2}$

- using the numbers that correspond with those lettered values, plug it in the quadratic formulas