(x - 12)(x + 4) = 9
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9 |add 48 to both sides
x² - 8x = 57
x² - 2x · 4 = 57 |add 4² to both sides
x² - 2x · 4 + 4² = 57 + 4² |use (a - b)² = a² - 2ab + b²
(x - 4)² = 57 + 16
(x - 4)² = 73 ⇔ x - 4 = √73 or x - 4 = -√73 |add 4 to both sides
x = 4 + √73 or x = 4 - √73
Answer:
f(x) = ( x + 1 ) ( x - 8 )
Step-by-step explanation:
We have to find a polynomial equation that has double zeros at x = - 1 and at x = 8
Therefore, the polynomial has only two roots and it will be a quadratic polynomial and it has factors ( x + 1 ) and ( x - 8 )
So, the polynomial is y = f(x) = ( x + 1 ) ( x - 8 ) (Answer)
Answer:
3:4 and 15:20
Step-by-step explanation:
30: 40 divided by 10 = 3:4
30:40 divided by 2 = 15:20
