If A.M and G.M of roots of a Quadratic equation are 8 and 5, respectively then obtain the quadratic equation.
Answers
Answered by
6
Answer:
Step-by-step explanation:
Let the root of quadratic equation are α and β
Then,
a.m=a+b/2=8
g.m=root of(a.b)=5
hence,
α + β = 16 and , αβ = 25
now, we know,
a/c to quadratic equation:
the quadratic equation : x² -(sum of root)x + (product of root)
= x² -16x + 25
Hence, x² - 16x + 25 = 0
ravi9848267328:
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Answered by
73
GIVEN :
A.M of roots of Quadratic Equation = 8
G.M of roots of Quadratic Equation = 5
SOLUTION :
Let the roots of the quadratic equation be 'a' and 'b'
A/Q,
A.M of roots of Quadratic Equation = 8
G.M of roots of Quadratic Equation = 5
Squaring both sides, we get
Now, our required Quadratic Equation is
Putting the values from (1) and (2) we get,
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