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You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.
If the coefficient is 1, i.e. the equation is written like , then you can say the following about the coefficients b and c:
- is the opposite of the sum of the roots
- is the multiplication of the roots.
So, for example, if we want an equation whose roots are 4 and -2, we have:
So, the equation is
If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:
And so the equation is
In order to have integer coefficients, you can multiply both sides of the equation by 8:
Answer:
A = -2.2
B = -1.7
C = 1.87
D = 19.97
Step-by-step explanation:
A = 7.4 - 9.6 = -2.2
B = -2.2 + 0.5 = -1.7
C = -1.1(-1.7) = 1.87
D = 18.1 + 1.87 = 19.97