How to find the roots of given equation to find the value of p and q ?
Anushk Singhal , 3 Years ago
Grade 12
Algebra> How to find the roots of given equation t...
1 Answers
Priyanshu Gujjar
Last Activity: 3 Years ago
We know that if p and q are the roots of a quadratic equation ax2+bx+c=0, the sum of the roots is p+q=−ab and the product of the roots is pq=ac.
Here, the given quadratic equation 2a2−4a+1=0 is in the form ax2+bx+c=0where a=2,b=−4 and c=1.
The sum of the roots is:
p+q=−ab=−2(−4)=2
The product of the roots is ac that is:
pq=ac=21
Now,
(p+q)2+4pq=22+(4×21)=4+2=6
Hence, the value of (p+q)2+4pq=6.
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on Algebra
Can we divide two vectors? If this is possible then how?
Algebra
1 Answer Available
Last Activity: 10 Month ago(s)
How do you write “the product of 18 and q” as an algebraic expression?
Algebra
1 Answer Available
Last Activity: 10 Month ago(s)
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
Algebra
0 Answer Available
Last Activity: 1 Year ago(s)