A quadratic equation is in the form of ax²+bx+c. The two numbers are -6 and -3.
What is a quadratic equation?
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the two numbers be a and b. Therefore, the multiplication of these two numbers is,
a × b = 18
b = 18/a
Also, the addition of these two numbers is -9. Therefore,
a + b = -9
a + (18/a) = -9
a² + 18 = -9a
a² + 9a +18 = 0
a² + 6a + 3a + 18 = 0
a(a+6) + 3(a+6) = 0
(a+3)(a+6)=0
a = -6, -3
Hence, the two numbers are -6 and -3.
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