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If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is?
Most Upvoted Answer
If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 th...
Explanation:
Given equation is x² - 8x = m.
Let the roots of the equation be α and β.
α + β = 8 (Sum of the roots of the quadratic equation is -b/a which is -(-8)/1 = 8)
αβ = m (Product of the roots of the quadratic equation is c/a which is 0/m = 0)
α - β = 4 (Given the root of the equation x² - 8x = m exceeds the other by 4)
Solution:
We need to find the value of 4.
Let's substitute the value of α and β in the equation α - β = 4
α - β = 4
(α + β) - 2β = 4 (Substituting α + β = 8)
8 - 2β = 4
2β = 4
β = 2
Now, we can find the value of α by substituting β in the equation α + β = 8
α + 2 = 8
α = 6
The roots of the equation are α = 6 and β = 2.
Let's find the value of m using the equation αβ = m
m = αβ
m = 6 × 2
m = 12
Therefore, the value of 4 is 4.
Given equation is x² - 8x = m.
Let the roots of the equation be α and β.
α + β = 8 (Sum of the roots of the quadratic equation is -b/a which is -(-8)/1 = 8)
αβ = m (Product of the roots of the quadratic equation is c/a which is 0/m = 0)
α - β = 4 (Given the root of the equation x² - 8x = m exceeds the other by 4)
Solution:
We need to find the value of 4.
Let's substitute the value of α and β in the equation α - β = 4
α - β = 4
(α + β) - 2β = 4 (Substituting α + β = 8)
8 - 2β = 4
2β = 4
β = 2
Now, we can find the value of α by substituting β in the equation α + β = 8
α + 2 = 8
α = 6
The roots of the equation are α = 6 and β = 2.
Let's find the value of m using the equation αβ = m
m = αβ
m = 6 × 2
m = 12
Therefore, the value of 4 is 4.
Community Answer
If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 th...
Let the roots are
x and x+4
Sum of roots = x+(x+4) =-(-8/1)
2x+4 = 8
2x = 4
x=2
Now,
x^2-8x+m=0
Put x = 2
(2)^2-8(2)+m=0
4-16+m=0
-12+m=0
m=12
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If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is?
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If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is?.
If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the root of the equation x•2 - 8x m = 0 exceeds the other by 4 then the value of 4 is?.
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