Question

1x²-7x14=4x²-7x+4

3x²-10x+8=x²-10x+26 AS 2 SEM BASKARA

Answer 1

    x² -7x + 14 = 4x² - 7x + 4 ⇔

⇔ x² - 4x² -7x + 7x = 4 - 14 ⇔

⇔ -3x² = -10 ⇔

⇔ x² = 10/3 ⇔

⇔ x = ±√(10/3) ⇔

⇔ x = -√(10/3)   ∨  x = √(10/3)

x = { -√(10/3) ; √(10/3) }

    3x² - 10x + 8 = x² - 10x + 26 ⇔

⇔ 3x² - x² - 10x + 10x = 26 - 8 ⇔

⇔ 2x² = 18 ⇔

⇔ x² = 9 ⇔

⇔ x = ±√9 ⇔

⇔ x = -3   ∨   x = 3

x = { -3 ; 3 }