If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k.
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If the sum of zeroes of the quadratic polynomial 3x2 – kx + 6 is 3, then find the value of k.
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Answer:
In a general quadratic equation of form ax
2
+bx+c=0, sum of roots are by
a
−b
.
In the given quadratic equation, 3x
2
−kx+6=0
a=3,b=−k,c=6
Sum of roots =
a
−b
=
3
−(−k)
=
3
k
and sum of roots is given 3
⇒
3
k
=3
⇒
k=9
Answer:
In a general quadratic equation of form ax
2
+bx+c=0, sum of roots are by
a
−b
.
In the given quadratic equation, 3x
2
−kx+6=0
a=3,b=−k,c=6
Sum of roots =
a
−b
=
3
−(−k)
=
3
k
and sum of roots is given 3
⇒
3
k
=3
⇒
k=9
Step-by-step explanation:
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