Question

Use the quadratic formula to solve the equation​. 9x2−7x+1=0 Enter your answers, in simplified radical form. x = x =

Answer 1

Answer:

$x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}$

Step-by-step explanation:

I'm not too good with the quadratic formula so I'm going to complete the square.

First divide everything by 9 and move the 1 to the other side.

$x^2-\frac{7}{9}=-\frac{1}{9}$

Then take half of $\frac{7}{9}$ and square it and add it to both sides.

$x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}$

Now you can factor it.

$(x-\frac{7}{18})^2=\frac{13}{324}$

Square root:

$x-\frac{7}{18}=\frac{\sqrt{13} }{18}$

$x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}$