Question

determine as raízes reais das equações

Answer 1

a)x²-25=0

a=1 b=0 c=-25

$x= \frac{ -b_{-}^+\sqrt{b^2- 4.a.c}}{2.a} \\ \\ x= \frac{ -0_{-}^+\sqrt{0^2- 4.1.(-25)}}{2.1} \\ \\ x= \frac{ -0_{-}^+\sqrt{0+100}}{2} \\ \\ x= \frac{ -0_{-}^+\sqrt{100}}{2} \\ \\ x= \frac{ -0_{-}^+{10}}{2}$

$x^I= \frac{ -0+{10}}{2}= \frac{10}{2} = 5\\ \\ x^I^I=\frac{ -0-{10}}{2}= \frac{-10}{2} =-5$

Raízes: 5 e -5

b)x²-2x=0

a=1 b=-2 c=0

$x= \frac{ -(-2)_{-}^+\sqrt{-2^2- 4.1.0}}{2.1} \\ \\ x= \frac{ 2_{-}^+\sqrt{4-0}}{2} \\ \\ x= \frac{ 2_{-}^+\sqrt{4}}{2} \\ \\ x= \frac{ 2_{-}^+{2}}{2}$

$x^I= \frac{ 2+{2}}{2} = \frac{4}{2} = 2 \\ \\ x^I^I= \frac{ 2-{2}}{2} = \frac{0}{2} = 0$

Raízes: 2 e 0