If α and β are the roots of a quadratic equation 6x² - 7x + 2 = 0, then find a quadratic equation whose roots are 5α and 5β.
Answers
Answered by
56
Step-by-step explanation:
Given:-
- A quadratic equation 6x² - 7x + 2 = 0
- The zeroes of the equation are α and β.
To Find:-
- The quadratic equation whose zeroes are 5α and 5β.
Concept used:-
For a quadratic equation ax² + bx + c = 0
Solution:-
Comparing 6x² - 7x + 2 = 0 with ax² + bx + c = 0
Here:-
• a = 6 • b = - 7
• c = 2
Now, we need to find the quadratic equation whose zeroes are 5α and 5β.
General form of a quadratic equation is:-
Hence, Required quadratic equations is:-
Answered by
26
Equation 1-
Here,
- a=6
- b=-7
- c=2
We know,
And also
Required equation is
Put p and s in equation
Similar questions
Computer Science,
2 months ago
Computer Science,
2 months ago
Math,
2 months ago
Science,
5 months ago
Social Sciences,
5 months ago
English,
11 months ago
English,
11 months ago
Psychology,
11 months ago