Question

Rezolvati in R ecuatia: 4x patrat + 3x=1

Answer 1

4x^2+3x-1=0
delta=b^2-4ac
delta=3^2-4*4*(-1)
delta=9+16
delta=25=> rad delta =5

x1=-b- radical din delta/2a
x1=-3-5/2*4
x1=-8/8
x1=-1

x2=-b+radical din delta/2a
x2=-3+5/2*4
x2=2/8
x2=1/4

Answer 2

$4x^2+3x=1\\\\4x^2+3x-1=0$

$a=4\\\\b=3\\\\c=-1$

$\delta = b^2-4ac\\\\\delta=9+16=25\\\\\delta \geq 0\longrightarrow Ecuatia\ are\ 2\ solutii$

$x_1= \frac{-b+ \sqrt{\delta} }{2a}= \frac{-3+5}{2\cdot4}= \frac{2}{8}= \frac{1}{4}\\\\x_2= \frac{-b- \sqrt{\delta} }{2a}= \frac{-3-5}{2\cdot4}= \frac{-8}{8}=-1$