Math, asked by kasifking386, 5 months ago

The sum of the zeroes of a quadratic polynomial 5x2- kx+2 is 7,then find the value of k​

Answers

Answered by ItzzHeartlessGirl
10

\huge\boxed{\fcolorbox{purple}{ink}{Given}}

  • 5x²-kx+2=0 is the given quadratic equation.

  • Sum of the zeroes of a quadratic polynomial is 7.

\huge\boxed{\fcolorbox{purple}{ink}{To Find}}

  • Value of k=?

\huge\boxed{\fcolorbox{purple}{ink}{$olution}}

Let Alpha and beeta be the given quadratic equation.

Since,

5x²-kx+2=0....(Given )

Comparing the above equation with

ax²+bx+c=0 we get,

a=5 , b=-k and c= 2

: . Alpha +beeta=-b/a.

: . 7=k/2

: . k=7×2

: . k=14

Therefore, The value of k is 14.

\huge\boxed{\fcolorbox{pink}{ink}{ItzzHeartlessGirl}}

Answered by Anonymous
3

Answer:

Let Alpha and beeta be the given quadratic equation.

Since,

5x²-kx+2=0....(Given )

Comparing the above equation with

ax²+bx+c=0 we get,

a=5 , b=-k and c= 2

: . Alpha +beeta=-b/a.

: . 7=k/2

: . k=7×2

: . k=14

Therefore, The value of k is 14.

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