0 reads0 ratings0 helpful
What is the sum of squares of the roots of \(3x^2+8x+4=0\)?
Advertisement
Answer and explanation
Correct answer: \( \frac{40}{9} \)
If the roots are \(\alpha,\beta\), then \(\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta\). Here \(\left(-\frac{8}{3}\right)^2-2\cdot\frac{4}{3}=\frac{40}{9}\).
Frequently asked questions
What is the correct answer to this question?
\( \frac{40}{9} \)
Why is this the correct answer?
If the roots are \(\alpha,\beta\), then \(\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta\). Here \(\left(-\frac{8}{3}\right)^2-2\cdot\frac{4}{3}=\frac{40}{9}\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement