Question

Let us construct the quadratic equation in one variable .

Q)the sum of the squares of two consecutive number is 313.​

Answer 1

Step-by-step explanation:

X² + (x+1)² = 313

Or, X² + X² + 2x + 1 = 313

Or, 2x² + 2x +1 - 313=0

Or, 2x² + 2x – 312 =0

Or, X² + X — 156 = 0

Hope this helps you✌

Answer 2

let the two consecutive are x and x+1

(X)² +(X+1)² = 312

x² + x² + 2x + 1 = 312

2x² + 2x = 311

2(x²+x)