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

Answer:

$x^2-\dfrac{9}{2}x-9=0$

Step-by-step explanation:

The solutions of a quadratic equation are :

x = -3/2 and x = 6

or we can write it as :

$x+\dfrac{3}{2}=0\ and\ x-6=0\\\\(x+\dfrac{3}{2})(x-6)=0$

Multiplying both values,

$(x+\dfrac{3}{2})(x-6)=0\\\\x^2-6x+\dfrac{3}{2}x-9=0\\\\x^2-\dfrac{9}{2}x-9=0$

Hence, the required quadratic equation is $x^2-\dfrac{9}{2}x-9=0$.