Question

Resultado das equações
A) X 2 - 15x- + 56 = 0

B) x2- 5x +6 = 0

Answer 1

a)x² - 15x + 56 = 0
       15 +/- √ 225 - 224
x = -----------------------
                    2
        15 +/- 1
x = ------------
            2

x'=15+1/2
x'= 16/2
x'= 8

x"= 15 - 1/2
x"= 14/2
x"= 7

b) x² - 5x + 6 = 0
        5 +/- √25 - 24
x = ---------------------
                 2
       5 +/- √1
x = -------------
             2

x'= 5 + 1/2
x'= 6/2
x'= 3

x"= 5 - 1/2
x"= 4/2
x"= 2

Espero ter ajudado, Feliz Ano Novo! abraços

Answer 2

a)
x²-15x+56=0

a=1
b=-15
c=56

Δ=b²-4ac
Δ=(-15)²-4(56)
Δ=225-224
Δ=1

$x= \frac{-b\pm \sqrt{\triangle} }{2a} = \frac{15\pm1}{2} \\ \\ x'= \frac{15+1}{2} = \frac{16}{2} =8 \\ \\ x"= \frac{15-1}{2} = \frac{14}{2} =7$

b)
x²-5x+6=0

a=1
b=-5
c=6

Δ=b²-4ac
Δ=(-5)²-4(6)
Δ=25-14
Δ=1

$x= \frac{-b\pm \sqrt{\triangle} }{2a} = \frac{5\pm1}{2} \\ \\ x'= \frac{5+1}{2} = \frac{6}{2} =3 \\ \\ x"= \frac{5-1}{2} = \frac{4}{2} =2$