Question

4x²+24x+37=0
va rog sa ma ajutati!
sa se calculeze in C ecuatiile cu coeficienti reali.

Answer 1

$4x^{2} +24x+37=0$
Δ=$b^{2} -4ac=(24 )^{2} -4*4*37=576-592=-16$

$x_{1} = \frac{-b- i\sqrt{-delta} }{2a} = \frac{-24- i\sqrt{-(-16)} }{8}= \frac{-24-4i}{8} = \frac{4(-6-i)}{8}= \frac{-6-i}{2}$

$x_{1} = \frac{-b+ i\sqrt{-delta} }{2a} = \frac{-24+ i\sqrt{-(-16)} }{8}= \frac{-24+4i}{8} = \frac{4(-6+i)}{8}= \frac{-6-i}{2}$

S={$\frac{-6-i}{2};\frac{-6+i}{2}$}