Question

5xsquare=4x+7completing square method​

Answer 1

answer is 1 5x equal plus 4x

Answer 2

$5x^2 = 4x + 7\\5x^2 - 4x = 7$

Dividing each term with 5 , we get

$x^2 - ( \frac{4}{5} ) x = \frac{7}{5} \\\\x^2 - 2 * x * ( \frac{2}{5} ) = \frac{7}{5}$

$x^2-2(x)(\frac{2}{5} )+(\frac{2}{5} )^2 = \frac{7}{5} +(\frac{2}{5} )^2\\\\( x - \frac{2}{5} )^2 = \frac{7}{5} + \frac{4}{25}$

$( x - \frac{2}{5} )^2 = \frac{35+4}{25} \\\\( x - \frac{2}{5} )^2 = \frac{39}{25}$

( x - 2/5 )² = ± √( 39 / 25 )

x = 2/5 ± √39 / 5

x = ( 2 ± √39 ) / 5

$x = \frac{( 2 + \sqrt{39} ) }{5} \\\\and\\\\x = \frac{( 2 - \sqrt{39} ) }{5}$