Question

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​

Answer 1

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 =$\frac{-(-11)+-\sqrt{(-11)^{2} -4*1*8} }{2*1}$

x=$\frac{11+-\sqrt{121-32}}{2}$

x1 = $\frac{11-\sqrt{89} }{2}$ , x2 = $\frac{11+\sqrt{89} }{2}$