the product of two consecutive integers is 5 more than three times the larger integer. Find the larger integer. please help!​

x = 5 or -1

Step-by-step explanation:

let larger integer be: x

the smaller integer is: x-1

(x)(x-1)=5+3(x)

x^2-x-5-3x=0

x^2-4x-5=0

x = 5 or -1

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.