If one of zero of polynomial 4x²+kx-1 is 1, then find the values of x
rreed8249:
Find values of x or k??
Answers
Answered by
2
Zeros or roots of a polynomial means it satisfies the polynomial
Hence f(1)=0,
SO, 4+k-1=0,
thus k=-3
Hence f(1)=0,
SO, 4+k-1=0,
thus k=-3
Answered by
4
Hey user !!
Here is your answer !!
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Given -> x=1
Put value of x in the equation
4(1)^2 + k(1) - 1=0
4(1) +K -1=0
4-1+k=0
3+k=0
k=-3
Now the correct equation is 4x^2+(-3)(x) -1
4x^2-3x-1=0
4x^2-4x+x-1=0
4x(x-1)+1(x+1)=0
4x+1=0,x-1=0
4x=-1,x=+1
x=-1/4 , x=+1
Hope it is satisfactory :-)
___________________________________________.
Here is your answer !!
_________________________________________
Given -> x=1
Put value of x in the equation
4(1)^2 + k(1) - 1=0
4(1) +K -1=0
4-1+k=0
3+k=0
k=-3
Now the correct equation is 4x^2+(-3)(x) -1
4x^2-3x-1=0
4x^2-4x+x-1=0
4x(x-1)+1(x+1)=0
4x+1=0,x-1=0
4x=-1,x=+1
x=-1/4 , x=+1
Hope it is satisfactory :-)
___________________________________________.
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