exam Maths Puzzle Numerical Ability

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Can you show that, given two equations y=m1x+c1 and y=m2x+c2, where c1=c2, that there will be at least one solution no matter what m1 and m2 are. Interpret the reults on

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Hello can you help me with this.
Calculate the value of the discriminant of x^2+4x+4=0
By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? Why?
Thanks
A psychologist has developed a test to measure self control. The test is normed so that it has a mean of 100 and a standard deviation of 15. The scores are normally distributed i