Question

Equações

a) 2t³ + 4 = -50
b) 4x + 3 + x² = 4x + 12
c) 3s² - 12 = 2s² - 7
d) 5ax - 8a = 2a
e) 3x² - 75a⁴ = 0

Answer 1

2t³ + 4 = -50
2t³  = -54
t³ = -27
t=∛-27
t=-3

4x + 3 + x² = 4x + 12
x² -9 = 0
x = √9
x = 3

3s² - 12 = 2s² - 7
s² - 5 =  0
s = √5

5ax - 8a = 2a
5ax - 10a = 0
5ax = 10a
5x = 10a /a 
5x = 10
x = 10 / 5
x = 2

3x² - 75a⁴ = 0
3x² = 75a⁴ 
x² = 75a⁴ /3
x² = 25a⁴
x = √25a⁴
x = √25 * √a⁴
x = 5a²

Answer 2

a)
2t³ + 4 = -50
2t³ = - 50 - 4
2t³ = - 54
t³ = - 54/2
t³ = - 27
t³ = - 3³
t = - 3
************************************

b)
4x + 3 + x² = 4x + 12
x² + 3 = 4x - 4x + 12
x² + 3 = 12
x² = 12 - 3
x² = 9
x = √9
x = +3 e x = - 3

c)
3s² - 12 = 2s² - 7
3s² - 2s² = - 7 + 12
s² = 5
s = + √5 e s = - √5
 
d)
5ax - 8a = 2a
5ax = 2a + 8a
5ax = 10a
5x = 10
x= 10/5
x = 2
¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
e)
3x² - 75a⁴ = 0
3x² = 75a⁴
x² = 75a⁴
      ----------
           3

x² = 25a⁴
x = √25√a⁴
x = 5a² ou x = - 5a²