Question

tina solved a quadratic equation and found the solution to be -3/2 and 6 which of the following is equivalent to the quadratic equations that tina solved

Answer 1

`x^2-(9)/(2)x-9=0`

Explanation:

The solutions of a quadratic equation are :

x = -3/2 and x = 6

or we can write it as :

`x+(3)/(2)=0\ and\ x-6=0\\\\(x+(3)/(2))(x-6)=0`

Multiplying both values,

`(x+(3)/(2))(x-6)=0\\\\x^2-6x+(3)/(2)x-9=0\\\\x^2-(9)/(2)x-9=0`

Hence, the required quadratic equation is
`x^2-(9)/(2)x-9=0`.