wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

When 7 is subtracted from the square of a number, the result is 6 times the number. Find a positive solution.


Open in App
Solution

Step1: Find the solution of quadratic equation.

Let the number be m.

According to the question,

m2-7=6mm2-6m-7=0m2-7m+m-7=0m(m-7)+1(m-7)=0(m-7)(m+1)=0m-7=0orm+1=0m=7orm=-1

Hence, the positive solution is 7.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Finite and Infinite Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon