Given that the quadratic equation x^2 + 7x + 13 = 0 has roots a and b, find the value of a+b and ab.

Remember that for a general quadratic equation Ax^2 + Bx + C = 0, the sum of the roots = -B/A and the product of the roots = C/A.In our question, A = 1, B = 7, C = 13.So a + b = -7/1 = -7 and ab = 13/1 = 13

NT

Related Further Mathematics A Level answers

All answers ▸

Solve for z in the equation sin(z) = 2


Find all the cube roots of 1


Prove by induction that f(n) = 2^(k + 2) + 3^(3k + 1) is divisible by 7 for all positive n.


Solve the equation 2(Sinhx)^2 -5Coshx=5, giving your answer in terms of natural logarithm in simplest form