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 ▸

Prove by mathematical induction that 2^(2n-1) + 3^(2n-1) is divisible by 5 for all natural numbers n.


A curve has equation y=(2-x)(1+x)+3, A line passes through the point (2,3) and the curve at a point with x coordinate 2+h. Find the gradient of the line. Then use that answer to find the gradient of the curve at (2,3), stating the value of the gradient


Given M = [[-2,6],[1,3]], find P and D such that M = PDP^(-1) where D is a diagonal matrix


Express f(x) = ln(x+1) as an infinite series in ascending powers of x up to the 3rd power of x