Write a quadratic equation of one variable with quadratic coefficient 1 and two equal real roots

Write a quadratic equation of one variable with quadratic coefficient 1 and two equal real roots


x²-2x+1=0



To solve a quadratic equation of one variable, its real roots are 1 / 2 and - 3, and the coefficient of quadratic term is 1


x-2.5x-1.5=0



Find the maximum or minimum of the following quadratic trinomial
(1)-6-6x+2x² (2)-3x²+2x+5


-6-6x+2x²
=2(x²-3x+9/4)-9/2-6
=2(x-3/2)²-21/2
The minimum is - 21 / 2
-3x²+2x+5
=-3(x²-2x/3+1/9-1/9)+5
=-3(x-1/3)²+16/3
The maximum is 16 / 3