Three consecutive even integers satisfy the following condition: "The sum of the…
MATHEMATICS · Subjective · CBSE · Mathematics · Algebra Play · Algebra Play
Problem
Three consecutive even integers satisfy the following condition:
"The sum of the squares of the two smaller integers is 20 more than the square of the largest integer."
(a) Represent the three consecutive even integers algebraically.
(b) Form the quadratic equation implied by the given condition and solve it.
(c) Write the three integers obtained and show that they meet the stated condition.