Question

4x² + 5x - 3 = 0
alguien me ayuda​

Answer 1

Respuesta:

$x = \frac{ + }{ - } \sqrt{ \frac{31}{8} } - \frac{5}{8}$

Explicación paso a paso:

$4 {x}^{2} + 5x - 3 = 0 \\ 4( {x}^{2} + \frac{5}{4} x - \frac{3}{4} ) = 0 \\ 4( {x}^{2} + \frac{5}{4} x - \frac{3}{4} + { (\frac{5}{8} )}^{2} - { (\frac{5}{8} )}^{2}) = 0 \\ 4( {(x + \frac{5}{8} )}^{2} - \frac{3}{4} - \frac{25}{8} ) = 0 \\ 4( {(x + \frac{5}{8}) }^{2} - \frac{31}{8} ) = 0 \\ {(x + \frac{5}{8} )}^{2} = \frac{31}{8 } \\ x = \frac{ + }{ - } \sqrt{ \frac{31}{8} } - \frac{5}{8}$