Resolva as esquaçaos de 2 grau em r
A- x²- 90 = 31
B- 5(x²-1) = (x²+1)
C- X (X + 2) = 2X + 25
Soluções para a tarefa
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A)
x² - 90 = 31
x² = 31 + 90
x² = 121
x = √121
x = + 11 e x = - 11
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B)
5.(x² - 1) = (x² + 1)
5x² - 5 = x² + 1
5x² - x² = 1 + 5
4x² = 6 (:2)
2x² = 3
x² = 3
---
2
___
x = + √3/2
____
x = - √3/2
*************************************
C)
X.(X + 2) = 2X + 25
x² + 2x = 2x + 25
x² + 2x - 2x = 25
x² = 25
x = √25
x = + 5 e x = - 5
x² - 90 = 31
x² = 31 + 90
x² = 121
x = √121
x = + 11 e x = - 11
*******************************
B)
5.(x² - 1) = (x² + 1)
5x² - 5 = x² + 1
5x² - x² = 1 + 5
4x² = 6 (:2)
2x² = 3
x² = 3
---
2
___
x = + √3/2
____
x = - √3/2
*************************************
C)
X.(X + 2) = 2X + 25
x² + 2x = 2x + 25
x² + 2x - 2x = 25
x² = 25
x = √25
x = + 5 e x = - 5
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