The coefficient of quadratic term of quadratic function f (x) is a. and the solution set of inequality f (x) > 2x is (- 1.3). If f (x) = - 7a has two equal real roots, find the analytic solution of F (x)

The coefficient of quadratic term of quadratic function f (x) is a. and the solution set of inequality f (x) > 2x is (- 1.3). If f (x) = - 7a has two equal real roots, find the analytic solution of F (x)


The solution set of inequality f (x) > 2x is (- 1.3)
So a



Can x ^ 4 + x ^ 2-1 be decomposed into the product of two quadratic factors with integral coefficients


No
+1 yes
x^4+x²+1
=(x^4+2x²+1)-x²
=(x²+1)²-x²
=(x²+x+1)(x²-x+1)



Can x ^ 6-x ^ 3-1 be decomposed into the product of two integral coefficient cubic factors?


No
Let X & # 179; = t
The question becomes
t²-t-1
If we make it = 0
Its root is not an integer, so it can't