ecuaciones del ejercicio v (en la libreta)
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ecuaciones del ejercicio V (en la libreta)TRANSCRIPT
x(x + 4) = 396
x² + 4x = 396
x² + 4x – 396 = 0
(x + 22) (x – 18) = 0
x + 22 = 0 x – 18 = 0
x = -22 x = 18
x² + 5x = 0
x(x + 5) = 0
x = 0 x + 5 = 0
x = 0 x = -5
x² - 7x = 0
x(x – 7) = 0
x = 0 x – 7 = 0
x = 0 x = 7
3x² - 48 = 0
x² - 16 = 0
x² + 0x - 16 = 0
(x + 4) (x – 4) = 0
x + 4 = 0 x – 4 = 0
x = - 4 x = 4
5x² - 75 = 0
x² - 15 = 0
x² + 0x - 15 = 0
(x + 3.87) (x – 3.87) = 0
x + 3.87 = 0 x – 3.87 = 0
x = -3.87 x = 3.87
x(x + 5) = 150
x² + 5x = 150
x² + 5x – 150 = 0
(x + 15) (x – 10) = 0
x + 15 = 0 x – 10 = 0
x = -15 x = 10
x² + 3x – 1 = 0
a = 1
b = 3
c = -1
x = -b b² - 4ac
2a
x = -3 3² - 4(1)(-1)
2(1)
+–
+–
x = -3 9 + 4
2
+–
x = -3 13
2
+–
x = -3 3.6
2
+–
x = -3 + 3.6
2
x = 0.6
2
x = 0.3
x = -3 - 3.6
2
x = -6.6
2
x = -3.3
y² + 3y – 1 = 0
a = 1
b = 3
c = -1
y = -b b² - 4ac
2a
y = -3 3² - 4(1)(-1)
2(1)
+–
+–
y = -3 9 + 4
2
+–
y = -3 13
2
+–
y = -3 3.6
2
+–
y = -3 + 3.6
2
y = 0.6
2
y = 0.3
y = -3 - 3.6
2
y = -6.6
2
y = -3.3
4x² - 25 = 0
(2x + 5) (2x – 5 ) = 0
2x + 5 = 0 2x – 5 = 0
2x = -5 2x = 5
x = -5 x = 5
2 2
x = -2.5 x = 2.5
9y² - 16 = 0
(3y + 4) (3y – 4 ) = 0
3y + 4 = 0 3y – 4 = 0
3y = -4 3y = 4
y = -4 y = 4
3 3
y = -1.33 y = 1.33
3(x – 6)² = 108
3(x – 6)(x – 6) = 108
(x – 6)(x – 6) = 108
3
(x – 6)(x – 6) = 36
x² - 6x - 6x + 36 = 36
x² - 12x + 36 = 36
x² - 12x + 36 – 36 = 0
x² - 12x = 0
x(x – 12)=0
x = 0 x – 12 = 0
x = 0 x = 12
3(x + 2)(x + 3) = 60
(x + 2)(x + 3) = 60
3
(x + 2)(x + 3) = 20
x² + 3x + 2x + 6 = 20
x² + 5x + 6 = 20
x² + 5x + 6 – 20 = 0
x² + 5x - 14 = 0
(x + 7) (x – 2) = 0
x + 7 = 0 x – 2 = 0
x = -7 x = 2