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Leviafan [203]
4 years ago
10

Better quality version of last question

Mathematics
1 answer:
nadya68 [22]4 years ago
3 0
Not sure at all but i think the 18 one
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Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.
Assoli18 [71]

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

     = 5(x² - 2x - 3) ← distribute parenthesis by 5

     = 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

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Answer:

10 + x =  - 4 \\  x =  - 4 - 10 \\ x =  - 14

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