hola me pueden ayudar les dare coronita
e)X ^ 2 - 6X + 8 = 0
f) x ^ 2 - 13x + 40 = 0
g)x ^ 2 + 3x - 10 = 0
h) x ^ 2 - 11x + 8 = 0
e)X ^ 2 - 6X + 8 = 0
f) x ^ 2 - 13x + 40 = 0
g)x ^ 2 + 3x - 10 = 0
h) x ^ 2 - 11x + 8 = 0
Respuesta:
e. x² - 6x + 8 = 0
x² - 2x - 4x + 8 = 0
x ( x-2 ) - 4 (x-2) = 0
(x-2) × (x-4) = 0
x - 2 = 0
x - 4 = 0
x= 2
x= 4
x1 = 2 , x2 = 4
f. x² - 13 x + 40 = 0
x² - 5x - 8x +40 = 0
x (x-5) - 8(8x-5) = 0
(x-5) × (x-8) = 0
x= 5
x = 8
x1 = 5 , x2 = 8
g. x² + 3x - 10 = 0
x² + 5x - 2x - 10 = 0
x (x+5) - 2(x+5) = 0
(x+5) × (x-2) = 0
x+5=0
x-2=0
x1 = -5 , x2 = 2
h. x² - 11x + 8 = 0
a = 1, b = -11, c = 8
x =[tex]\frac{-(-11)+-\sqrt{(-11)^{2} -4*1*8} }{2*1}[/tex]
x=[tex]\frac{11+-\sqrt{121-32}}{2}[/tex]
x1 = [tex]\frac{11-\sqrt{89} }{2}[/tex] , x2 = [tex]\frac{11+\sqrt{89} }{2}[/tex]