Question

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

Answer 1

Answer:
`a=(1\pm √(13))/(6)`

Explanation:

Given

Quadratic Equation is
`x^2-x-(2a+2)`

`-4a` is the solution of the given equation

`\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=(1\pm √(1+12))/(2* 3)=(1\pm √(13))/(6)`