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Alchen [17]
3 years ago
6

The product of two consecutive positive integers is 342. Represent in the above situation in the form of quadratic equation. Fin

d the numbet also.​
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

Answer:

18 and 19

Step-by-step explanation:

Consecutive positive integers have a difference of 1 between them

let n and n + 1 be the 2 integers, then

n(n + 1) = 342, that is

n² + n = 342 ( subtract 342 from both sides )

n² + n - 342 = 0 ← quadratic equation in standard form

(n + 19)(n - 18) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 19 = 0 ⇒ n = - 19

n - 18 = 0 ⇒ n = 18

However, n > 0 ⇒ n = 18 and n + 1 = 18 + 1 = 19

The 2 integers are 18 and 19

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Answer:

Option (2). 1

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Rule for the rotation of the vertices,

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Following the rule of rotation coordinates of the image points,

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B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

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