Question

write the square of 17 as the sum of two consecutive integers

Answer 1

$\huge \text{To find:}$

17² as the sum of two consecutive positive integers...

$\large \text{Solution...}$

let the first integer be x...

let the second integer be x + 1...

• 17² = 289

according to question...

x + x + 1 = 289

2x + 1 = 289

2x = 288

$x=\frac{288}{2}$

x = 144

Therefore,

first integer = x = 144

second integer = x + 1 = 144 + 1 = 145

Answer 2

solution:

Step-by-step explanation:

17² as the sum of two consecutive positive integers...

let the first integer be x...

let the second integer be x + 1...

17² = 289

according to question...

x + x + 1 = 289

2x + 1 = 289

2x = 288

x= 288/2

x = 144

Therefore,

first integer = x = 144

second integer = x + 1 = 144 + 1 = 145