Answer:
Step-by-step explanation:
x² - 7x - 18 = 0
Product = -18
Sum = -7
Factors = 2 , (-9) {2*(-9) = -18 & 2 +(-9) = -7}
x² + 2x - 9x - 18 = 0
x(x + 2) - 9(x + 2) = 0
(x +2)(x - 9)= 0
x + 2 = 0 ; x - 9 = 0
x = -2 ; x = 9
x = -2 , 9
Sale price = 272000
Reduction percentage = 15%
Let the original price = x
Reduction = 15% of x
Original price - reduction price = Sale price
x - 15% of x = £272000
[tex]x -\dfrac{15}{100}x = 272000\\\\\\\dfrac{100}{100}x-\dfrac{15}{100}x=272000\\\\\\\dfrac{85}{100}x=272000\\\\\\x=272000*\dfrac{100}{85}[/tex]
x = 3200 * 100
Original price = £320000
