Maths Olympiad Exam Numerical Ability Quadratic Equations

determine the value of p for which the quadratic equation 2x^2+px+8=0 has real roots

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Maths Olympiad Other Question

2x-3y=7 and (a+b)x-(a+b-3)y=4a+b represents coincident lines find the value of a and b for what value of m the equation 2mx^2-2(1+2m)x+(3+2m)=0 have equal roots