Question

If x = 2/3 and x = -3 are roots of the quadratic equation ax2 + 7x + b = 0, find

the values values of a and b.​

Answer 1

Step-by-step explanation:

x = 2/3,

x = -3

Sum of zeros

2/3 + (-3)

= 2/3 - 3

= 2/3 - 9/3

= -7/3

Product of zeros

2/3 X (-3)

= 2 X (-1)

= -2

quadratic equations = x^2 - (sum of zeros)x + product of zeros

x^2 - (-7/3)x + (-2) = 0

x^2 + 7/3x - 2 = 0

3x^2 + 7x - 6 = 0X3

3x^2 + 7x - 6 = 0

a = 3 , b = -6