If one of the roots of quadratic equation X2 – kX + 27 = 0 is 3 then find
the value of ‘k’...
Answers
Answered by
71
Question:-
If one of the roots of quadratic equation x² - kx + 27 = 0 is 3 then find the value of ‘k’.
To Find:-
Find the value of k.
Solution:-
Given ,
One of root of the equation is 3.
Let the value of x is 3
Hence ,
The value of k = 12
Answered by
1
Answer:
Question:-
If one of the roots of quadratic equation x² - kx + 27 = 0 is 3 then find the value of ‘k’.
To Find:-
Find the value of k.
Solution:-
Given ,
One of root of the equation is 3.
Let the value of x is 3
\longrightarrow\sf \: { 3 }^{ 2 } - 3k + 27 = 0⟶3
2
−3k+27=0
\longrightarrow\sf \: 9 - 3k + 27 = 0⟶9−3k+27=0
\longrightarrow\sf \: 36 - 3k = 0⟶36−3k=0
\longrightarrow\sf \: 3k = 36⟶3k=36
\longrightarrow\sf \: k = \cancel\dfrac { 36 } { 3 }⟶k=
3
36
\longrightarrow\sf \: k = 12⟶k=12
Hence ,
The value of k = 12
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