Question

Me ayudarian con estas ecuaciones de Matematicas?
ecuaciones cuadraticas:
3x²-5x-2=0
x²+2x+1=0
4 x²-3x+1=0

Answer 1

3X² - 5X - 2 = 0

Donde: a = 3; b = -5; c = -2

$X=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$X=\frac{-(-5)\pm \sqrt{(-5)^2-4(3)(-2)}}{2(3)}$

$X=\frac{5\pm \sqrt{25+24}}{6}$

$X=\frac{5\pm \sqrt{49}}{6}$

$X=\frac{5\pm \ 7}{6}$

X1 = [5 + 7]/6 = 12/6 = 2

X2 = [5 - 7]/6 = -2/6 = -1/3

X1 = 2; X2 = -1/3

b) X² + 2X + 1 = 0

Donde: a = 1; b = 2; c = 1

$X=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$X=\frac{-2\pm \sqrt{2^2-4(1)(1)}}{2(1)}$

$X=\frac{-2\pm \sqrt{4-4}}{2}$

$X=\frac{-2\pm \sqrt{0}}{2}$

X = -2/2

X = -1

c) 4X² - 3X + 1 = 0

Donde: a = 4; b = -3; c = 1

$X=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$X=\frac{-(-3)\pm \sqrt{(-3)^2-4(4)(1)}}{2(4)}$

$X=\frac{3\pm \sqrt{9-16}}{8}$

$X=\frac{3\pm \sqrt{-7}}{8}$

$X=\frac{3\pm i\sqrt{7}}{8}$

$X1 = \frac{3}{8}+i \frac{ \sqrt{7} }{8}$

$X2 = \frac{3}{8}-i \frac{ \sqrt{7} }{8}$