wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Factorization Method
Find the cons...
Question

Find the consecutive even integers whose squares have the sum 340.

Open in App
Solution

Let the integer be 2x,
It is given that,
left parenthesis 2 x right parenthesis squared plus left parenthesis 2 x plus 2 right parenthesis squared equals 340 4 x squared plus 4 x squared plus 4 plus 8 x equals 340 8 x squared plus 8 x minus 336 equals 0 x squared plus x minus 42 equals 0 x squared plus 7 x minus 6 x minus 42 equals 0 x left parenthesis x plus 7 right parenthesis minus 6 left parenthesis x plus 7 right parenthesis equals 0 left parenthesis x minus 6 right parenthesis left parenthesis x plus 7 right parenthesis equals 0 x equals 6 comma negative 7

So, the integers are 12, -14

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE by Factorisation
MATHEMATICS
Watch in App
explore_more_icon
Explore more
Solving a Quadratic Equation by Factorization Method
Standard X Mathematics
Join BYJU'S Learning Program
book_image
AI Tutor
book_image
Textbooks
book_image
Question Papers
book_image
Install app
CrossIcon