Question

Solve 5x2 - 7x + 2 = 0 by completing the square.
Will give medals. Please work step by step

Answer 1

ok for completing the square we must always bring out the common factor before completing the square.
\[5(x ^{2}\frac{-7}{5}x + \frac{2}{5}) = 0\]
We should always look at coefficient of the middle term. so the coefficient is -7/5 of the middle term. now we want to divide that by 2 and square it.
\[(\frac{-7}{5})^{2}=\frac{49}{25}\]
now we have to add and minus it onto the equation.
\[5{(x ^{2}-\frac{7}{5}+\frac{49}{25}-\frac{49}{25}+\frac{2}{5})}=0\]
see if u know what to do from here.