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If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta?
Most Upvoted Answer
If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-...
X² - x -4 is the given quadratic equation.
Given, alpha and beta are zeroes of the given equation.
we know, sum of zeroes = -b/a
alpha + beta = 1
and
product of zeroes = c/a
alpha × beta = -4
To find, :-
1/alpha 1/beta - alpha × beta
by putting values
1/-4 +4 => 15/4
Given, alpha and beta are zeroes of the given equation.
we know, sum of zeroes = -b/a
alpha + beta = 1
and
product of zeroes = c/a
alpha × beta = -4
To find, :-
1/alpha 1/beta - alpha × beta
by putting values
1/-4 +4 => 15/4
Community Answer
If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-...
Solution:
Given:
- Quadratic polynomial: f(x) = x^2 - x - 4
- Zeroes: α, β
Formulas:
- Sum of zeroes: α + β = -(-1) = 1
- Product of zeroes: αβ = -4
Value to find:
1/α + 1/β - αβ
Calculation:
- We know that 1/α + 1/β = (α + β) / (αβ) = 1 / (-4) = -1/4
- Therefore, 1/α + 1/β - αβ = -1/4 - (-4) = -1/4 + 4 = 15/4
Therefore, the value of 1/α + 1/β - αβ is 15/4.
Given:
- Quadratic polynomial: f(x) = x^2 - x - 4
- Zeroes: α, β
Formulas:
- Sum of zeroes: α + β = -(-1) = 1
- Product of zeroes: αβ = -4
Value to find:
1/α + 1/β - αβ
Calculation:
- We know that 1/α + 1/β = (α + β) / (αβ) = 1 / (-4) = -1/4
- Therefore, 1/α + 1/β - αβ = -1/4 - (-4) = -1/4 + 4 = 15/4
Therefore, the value of 1/α + 1/β - αβ is 15/4.
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If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta?
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If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta?.
If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If alpha and beta are the zeroes ofthe quadratic polynomial f(x)=x2-x-4 find the value of 1/alpha 1/beta-alpha X beta?.
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