The sum of the squares of three consecutive positive number is 434.find the middle number

Question

Need to find the x of the 3 numbers only step by step

Answer 1

Let x will be the first number, create the equation:

x^2 +(x+1) ^2 +(x+2)^2=434

x^2+x^2+2x+1+x^2+4x+4=434

combine the terms and solve quadratic equation

3x^2+6x+5=434

3x^2+6x-429=0

divide by 3

x^2+2x-143=0

Solve for x and then add 1 to x