Materi : Bentuk dan Persamaan Kuadrat
Bentuk umum : ax² + bx + c = 0
x² - 7x + 12 = 0 { a = 1, b = -7, c = 12 }
____________________________/
A. x¹ + x² = -b/a = -(-7)/1 = 7/1 = 7
B. x¹ . x² = c/a = 12/1 = 12
---
C. 1/x¹ + 1/x²
= x²/( x¹ . x² ) + x¹/( x¹ . x² )
= ( x¹ + x² )/( x¹ . x² )
= 7/12
D. (x¹)² + (x²)²
= ( x¹ + x² )² - 2x¹.x²
= 7² - 2(12)
= 49 - 24
= 25
E. x¹(x²)² + x²(x¹)²
= x¹ . x² . x² + x¹ . x¹ . x²
= ( x¹ . x² )( x¹ + x² )
= 12 . 7
= 84
Semoga bisa membantu
[tex] \boxed{ \colorbox{darkblue}{ \sf{ \color{lightblue}{ answered\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
1. x^2 - 7x + 12 = 0
a = 1 | b = -7 | c = 12
a. x1 + x2
= -b/a
= - -7/1
= 7/1
= 7
b. x1.x2
= c/a
= 12/1
= 12
c. 1/x1 + 1/x2
= x1 + x2/x1.x2
d. x1^2 + x2^2
= (x1 + x2)^2 - 2x1.x2
= (7)^2 - 2.12
e. x.x2^2 + x1^2.x2
= x1.x2(x1 + x2)
= 7(12)
= 7.12
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Verified answer
Materi : Bentuk dan Persamaan Kuadrat
Bentuk umum : ax² + bx + c = 0
x² - 7x + 12 = 0 { a = 1, b = -7, c = 12 }
____________________________/
A. x¹ + x² = -b/a = -(-7)/1 = 7/1 = 7
B. x¹ . x² = c/a = 12/1 = 12
---
C. 1/x¹ + 1/x²
= x²/( x¹ . x² ) + x¹/( x¹ . x² )
= ( x¹ + x² )/( x¹ . x² )
= 7/12
---
D. (x¹)² + (x²)²
= ( x¹ + x² )² - 2x¹.x²
= 7² - 2(12)
= 49 - 24
= 25
---
E. x¹(x²)² + x²(x¹)²
= x¹ . x² . x² + x¹ . x¹ . x²
= ( x¹ . x² )( x¹ + x² )
= 12 . 7
= 84
Semoga bisa membantu
[tex] \boxed{ \colorbox{darkblue}{ \sf{ \color{lightblue}{ answered\:by\: BLUEBRAXGEOMETRY}}}} [/tex]
1. x^2 - 7x + 12 = 0
a = 1 | b = -7 | c = 12
a. x1 + x2
= -b/a
= - -7/1
= 7/1
= 7
b. x1.x2
= c/a
= 12/1
= 12
c. 1/x1 + 1/x2
= x1 + x2/x1.x2
= 7/12
d. x1^2 + x2^2
= (x1 + x2)^2 - 2x1.x2
= (7)^2 - 2.12
= 49 - 24
= 25
e. x.x2^2 + x1^2.x2
= x1.x2(x1 + x2)
= 7(12)
= 7.12
= 84