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tester [92]
2 years ago
11

Mr. Evans, my next door neighbour is fifty years old. He is five times older than his son, Lucas. Lucas is four years older than

his sister, Lilly. How old is Lilly?​
Mathematics
1 answer:
OLEGan [10]2 years ago
7 0

Answer:

Lilly is 7 years old

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Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

       -4 ±√[-40]         -4 ± 2i√10

x  = ------------------ = ------------------

                4                       4

                                       -2 ± i√10

Thus, the roots are x = ------------------

                                               2

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