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

In the class, the teacher is explaining how to solve a quadratic equation by completing the square method. He says that every quadratic equationax2+bx+c=0 can be written as (Ax+B)2 = C. Is it true or false?


A

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

True


ax2+bx+c=0 can be written as x2+(ba)x+(ca)=0 [when we divide the entire equation with "a"]

This can be written as

x2+(ba)x+(ca)=0

(x+b2a)2-(b2a)2+ca=0

i.e, it can be simplified as (x+b2a)2-(b24ac4a2)=0

Therefore (x+b2a)2 = (b24ac4a2)

Every quadratic equation can be written as (Ax+B)2 = C

So, the teachers statement is true.


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