It is known that the quadratic equation with one variable x ^ 2-2 (A-1) x - (B + 2) ^ 2 = 0 has real roots. Find the value of a ^ 2001 + B ^ 4 | Math enthusiast | Mathematical art

It is known that the quadratic equation with one variable x ^ 2-2 (A-1) x - (B + 2) ^ 2 = 0 has real roots. Find the value of a ^ 2001 + B ^ 4

x^2-2(a-1)x-(b+2)^2=0
[-2(a-1)]^2-4*(-(b+2)^2)=4【(a-1)^2+(b+2)2】
By the condition, a = 1, B = - 2
a^2001+b^4=1+16=17

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