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For what value of a is - 4a zero of the polynomial p(x) = x ^ 2 - x - (2a + 2) ^ 2​

For What Value Of A Is 4a Zero Of The Polynomial Px X 2 X 2a 2 2 class=

Answer :

Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Step-by-step explanation:

Given

Quadratic Equation is  [tex]x^2-x-(2a+2)[/tex]

[tex]-4a[/tex] is the solution of the given equation

[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]

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