Question

Solve by the quadratic formula: x^2= 6x-4

Answer 1

Answer:

3 $\pm$ $\sqrt{5}$.

Step-by-step explanation:

x^2 = 6x - 4

x^2 - 6x + 4 = 0

Now, we can use the quadratic formula to solve.

$\frac{-b\pm\sqrt{b^2 - 4ac} }{2a}$, where a = 1, b = -6, and c = 4.

$\frac{-(-6)\pm\sqrt{(-6)^2 - 4 * 1 * 4} }{2 * 1}$

= $\frac{6\pm\sqrt{36 - 4 * 4} }{2}$

= $\frac{6\pm\sqrt{36 - 16} }{2}$

= $\frac{6\pm\sqrt{20} }{2}$

= $\frac{6\pm2\sqrt{5} }{2}$

= 3 $\pm$ $\sqrt{5}$

x = 3 $\pm$ $\sqrt{5}$.

Hope this helps!