if 2 is zeros of polynomials f(x)=ax^2-3(a-1)x-1 than find the value of a​

if 2 is zeros of polynomials f(x)=ax^2-3(a-1)x-1 than find the value of a​

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    [tex]\huge\underbrace\purple{\dag Question \dag}[/tex]

    if 2 is zeros of polynomials f(x)=ax^2-3(a-1)x-1 than find the value of a

    [tex]\huge\underbrace\pink{\dag Answer \dag}[/tex]

    2 is zeros of polynomials f(x)=ax^2-3(a-1)x-1

    [tex]f(2) = a( {2})^{2} – 3(a – 1)2 – 1 = 0 \\ 4a – 6a + 6 – 1 = 0 \\ – 2a + 5= 0 \\ – 2a = 0 – 5 \\ – 2a= – 5 \\ a = \frac{ – 5}{ – 2} \\ a = \boxed{ \frac{5}{2} } [/tex]

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