exam Maths Puzzle Numerical Ability

How do you find if an equation has 2 real number solutions, 1 real solution or no real-number solutuons? an example is x^2-6x+c=0

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exam Other Question

The sum of two numbers is 112. the second is 7 more than 4 times the first. What are the two numbers? Write three quadratic equations, with a,b and c (coefficients of x^2,x and the constant) as:
1. integers
2. rational numbers
3. irrational numbers