Standard form of a Quadratic Equation

Q. If $a+b+c>\frac{9c}{4}$ and quadratic equation $a{x}^2+2bx-5c=0$ has non-real, then

1. $a>0,c>0$
2. $a>0,c<0$
3. $a<0,c<0$
4. $a<0,c>0$

Q.

Which of the following is reduced form of the equation $(2x-1{)}^2$ = $x^2$ + 2?

1. 4$x^2$ + 2x + 1 = 0

2. 4$x^2$ + 2x - 1 = 0

3. 3$x^2$ - 4x - 1 = 0

4. 3$x^2$ - 4x + 1 = 0

Q. Is the following equation a quadratic equation?

1. No
2. Ambiguous
3. Yes
4. Data insufficient

Q. Rewrite the quadratic equation $2x^2+6=-7x$ in the standard form of a quadratic equation. Also, identify $a$, $b$, and $c$ in the given equation.