Jawaban:
Nilai diskriminan = 24
Penjelasan dengan langkah-langkah:
• Persamaan kuadrat :
(x + 3)² - 2x = 6x + 14
=> x² + 6x + 9 - 2x = 6x + 14
=> x² + 6x + 9 - 2x = 6x - 14 = 0
=> x² - 2x - 5 = 0
Diperoleh : a = 1, b = 2, dan c = -5
______________________________
D = b² - 4ac
= (-2)² - 4 (1) (-5)
= 4 + 20
= 24
Semoga Membantu^^
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[tex](x + 3)² + 2x = 6x + 14[/tex]
[tex](x + 3)(x + 3) + 2x = 6x + 14[/tex]
[tex]x(x + 3) + 3(x + 3) + 2x = 6x + 14[/tex]
[tex] {x}^{2} + 3x + 3(x + 3) + 2x = 6x + 14[/tex]
[tex] {x}^{2} + 3x + 3x + 9 + 2x = 6x + 14[/tex]
[tex] {x}^{2} + 6x + 9 + 2x = 6x + 14[/tex]
[tex] {x}^{2} + 8x + 9 = 6x + 14[/tex]
[tex] {x}^{2} + 8x + 9 - (6x + 14) = 0[/tex]
[tex] {x}^{2} + 8x + 9 - 6x - 14 = 0[/tex]
[tex] {x}^{2} + 8x - 5 - 6x = 0[/tex]
[tex] {x}^{2} + 2x - 5 = 0[/tex]
[tex]d = {b}^{2} - 4ac[/tex]
[tex]d = {2}^{2} - 4·1( - 5)[/tex]
[tex]d = 4 - 4·1( - 5)[/tex]
[tex]d = 4 - 4( - 5)[/tex]
[tex]d = 4 - ( - 20)[/tex]
[tex]d = 4 + 20[/tex]
[tex]d = 24[/tex]
Jadi, nilai diskriminannya adalah 24.
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