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Lady bird [3.3K]
4 years ago
6

Identify the solutions to the quadratic equation!

Mathematics
1 answer:
Elenna [48]4 years ago
8 0

The solution to the quadratic equation are option C) x= -5 and option E) x=3.

<u>Step-by-step explanation</u>:

The given  quadratic equation is x²+2x-15 = 0.

Using the factorization method,

  • product of the roots should be -15.
  • Sum of the roots should be 2.

⇒ -15 = 5 \times -3

⇒ 2 = 5+(-3)

(x+5)(x-3) = 0

Therefore, x = -5 and x = 3

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X and y are two positive numbers and y is three greater than x. the product of the numbers is 180. find the smaller number, x.
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First positive number (x) = x
Second positive number (y) = x+3
Product: 180 = x · y
               180 = x · (x + 3)
               180 = x² + 3x
                 0  = x² + 3x - 180
                 0 = (x + 15)(x - 12)
                 0 = x + 15, 0 = x - 12
                     x = -15, x = 12
x = -15 is NOT a positive number so it can be disregarded.

Answer: 12
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