If one zero of the polynomial x^2
-4x+k is 2, then what is the value of k? please tell correct answer or I will report you and ban you
Answers
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Answer:
If one root of 3x2−4x+k=0 , is three times the other, what is the value of k ?
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3x^2 -4x + k=0 is a quadratic equation its has only two roots. Let the roots be p and q . Given that one root is three times of the other. So lets assume p=3q.
Now we have the equation 3x^2 -4x + k=0 whose roots are q and 3q.
For a quadratic equation of the form ax^2 + bx+c=0.
Sum of roots =-b/a and
Product of roots =c/a
Now for 3x^2 -4x + k=0 equation when we compare with ax^2 + bx+c=0.
a=3 b=-4 and c=k Therefore
Sum of roots = q +3q =-(-4)/3 =4/3—→ 4q =4/3 Equation 1
Product of roots = q.3q = k/3 —→ 3q^2 = k/3 Equation 2
From Equation 1, we get 4q =4/3 → q=1/3
On substituting the value of q in Equation 2
3q^2 = k/3
3*(1/3)*(1/3) =k/3
1/3 =k/3
k=1