Question

c) Construct the quadratic whose roots are -1/3 and 2/3.​

Answer 1

sum of roots =⅓

product of roots =-²/⁹

eq =9x²-3x-2

Answer 2

Step-by-step explanation:

The roots a = -1/3 and b=2/3

The quadratic equation with roots a and b can be formed as:

X²-(a+b) X + ab = 0

Here,

a+b= (-1/3) + (2/3) = 1/3

ab = (-1/3)*(2/3) = (-2/9)

So equation is,

• X²- (1/3)X + (-2/9) = 0
• X² - (1/3)X -(2/9)=0
• 9X² - 3X - 2 = 9 ( simplify the denominator)
• 9X² - 3X -11 = 0