Answer:
[tex]x^2-\dfrac{9}{2}x-9=0[/tex]
Step-by-step explanation:
The solutions of a quadratic equation are :
x = -3/2 and x = 6
or we can write it as :
[tex]x+\dfrac{3}{2}=0\ and\ x-6=0\\\\(x+\dfrac{3}{2})(x-6)=0[/tex]
Multiplying both values,
[tex](x+\dfrac{3}{2})(x-6)=0\\\\x^2-6x+\dfrac{3}{2}x-9=0\\\\x^2-\dfrac{9}{2}x-9=0[/tex]
Hence, the required quadratic equation is [tex]x^2-\dfrac{9}{2}x-9=0[/tex].