Respuesta:
a.
[tex] {x}^{2} + 5x - 36 = (x + 9)(x - 4)[/tex]
x + 9 = 0 x - 4 = 0
x = -9 x = 4
b.
[tex] {a}^{2} - a - 12 = (a + 3)(a - 4)[/tex]
a + 3 = 0 a - 4 = 0
a = -3 a = 4
c.
[tex] {x}^{2} - 8x - 20 = (x + 2)(x - 10)[/tex]
x + 2 = 0 x - 10 = 0
x = -2 x = 10
d.
[tex] {x}^{2} + 2x - 15 = (x + 5)(x - 3)[/tex]
x + 5 = 0 x - 3 = 0
x = -5 x = 3
e.
[tex] {a}^{2} - 13a + 40 = (a - 8)(a - 5)[/tex]
a - 8 = 0 a - 5 = 0
a = 8 a = 5
f.
[tex] {z}^{2} + 10z + 10 = [/tex]
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Respuesta:
a.
[tex] {x}^{2} + 5x - 36 = (x + 9)(x - 4)[/tex]
x + 9 = 0 x - 4 = 0
x = -9 x = 4
b.
[tex] {a}^{2} - a - 12 = (a + 3)(a - 4)[/tex]
a + 3 = 0 a - 4 = 0
a = -3 a = 4
c.
[tex] {x}^{2} - 8x - 20 = (x + 2)(x - 10)[/tex]
x + 2 = 0 x - 10 = 0
x = -2 x = 10
d.
[tex] {x}^{2} + 2x - 15 = (x + 5)(x - 3)[/tex]
x + 5 = 0 x - 3 = 0
x = -5 x = 3
e.
[tex] {a}^{2} - 13a + 40 = (a - 8)(a - 5)[/tex]
a - 8 = 0 a - 5 = 0
a = 8 a = 5
f.
[tex] {z}^{2} + 10z + 10 = [/tex]