exam Maths Puzzle Numerical Ability

Without solving each equation, determine the nature of the roots.
a. 3y^2-10y+1=0
b. 2w^2+6w+10=0

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exam Other Question

please help with this one.

Use the quadratic formula to solve the equation:

16x^2 - 40x +5 = 0

thank you in advance
A bicyclist rode into the country for 5hours. In returning, her speed was 5mi/h faster and the trip took 4 hours. What was her speed each way?