Question

01) Resolva as equações: a) x²-9x+14=0 b)x² - 4x+4=0 b c) -6x+13=0​

Answer 1

01) Resolva as equações:

a) x²-9x+14=0

$x_{1,\:2}=\frac{-\left(-9\right)\pm \sqrt{\left(-9\right)^2-4\cdot \:1\cdot \:14}}{2\cdot \:1}\\\\x_{1,\:2}=\frac{-\left(-9\right)\pm \:5}{2\cdot \:1}\\x_1=\frac{-\left(-9\right)+5}{2\cdot \:1}=7\:\\x_2=\frac{-\left(-9\right)-5}{2\cdot \:1}=2$

b)x² - 4x+4=0

$x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}\\x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{0}}{2\cdot \:1}\\x=\frac{-\left(-4\right)}{2\cdot \:1}=2$

c) -6x+13=0​

$-6x+13=0\\-6x+13-13=0-13\\-6x=-13.(-1)\\X}=\frac{13}{6}$