contestada

The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer.

Respuesta :

jhonyy9
product of two consecutive integer so this mean that x and y but y = x+1 than

x(x+1)=1332

x^2 +x -1332 =0  so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie 

x^2 +x -1332 = 0

(x+37)(x-36)=0

x+37=0

x=-37 so the larger integer result that will be 37 

Two consecutive number is 36 , 37

Given that;

Product of two consecutive number = 1,332

Find:

Two consecutive number

Computation:

First number = a

Second number = a + 1

So,

(a)(a + 1) = 1332

a² + a = 1332

a² + a - 1332 = 0

a² + (37 - 36)a - 1332 = 0

a² + 37a - 36a - 1332 = 0

a(a + 37) - 36(a + 37) = 0

(a + 37)(a - 36) = 0

a = -37 a = 36

So,

Two consecutive number = 36 , 37

Learn more:

https://brainly.com/question/2493629?referrer=searchResults

Ver imagen PiaDeveau

Otras preguntas