Writing quadratic equation in the variable

Question

Assignment:

Q1.    x²+5x-7=0
The solutions are______
No solutions______

Q2. A. solve 4x+x(x-2)=0
B. Find the x-intercepts of f(x)=4x+x(x-2).
A. What are the solutions_____?
B. What are the x-intercepts_____

Q3. Solve  for x    4x²=-21x-5
A. x=_____
B. no solutions____

Q4. Give exact and approximate solutions to 3 decimal places. X²+8x+16=1
X=_____

Q5. Solve by completing the square.  X²+2x-3=0
A. the solution is x=_____
 B. no solution

Q6. Write quadratic equation in the variable x having the given numbers as solutions. Type the equations are -5,3
The equation is_____=0

Provide complete and step by step solution for the question and show calculations and use formulas.