1. The roots of the quadratic equation x2 + 2(k +1)x + (2k + 5) = 0 are a andb .
(a) Find the range of values of k for which a andb are real.
(b) Find, in terms of k, the quadratic equation whose roots are (2a +ab ) and
(2b +ab ) .
Please leave your answer below
Thnx
Jake :-)
Jake .. the answer is 42 (you need to be a certain age to understand this - ask your Dad ) 8)
Quote from: HB on March 20, 2019, 07:15:13 PM
Jake .. the answer is 42 (you need to be a certain age to understand this - ask your Dad ) 8)
I don't have to ask my dad HB cos I'm a massive fan of Hitch Hikers guide to the Galaxy and I'v read the book ;-)
x2 + 2(k +1)x + (2k + 5) = 0
roots of a quadratic equation, which is defined like this ax2+bx+c = 0 are x1 and x2. By the formula for the roots
x1 = [-b + sqrt(b^2-4ac)]/2a, x2 = [-b - sqrt(b^2-4ac)]/2a. The equation has real roots, if D = b^2-4ac is >= 0.
So all you have to do is replace the coeficients of the equation to the formula and solve the inequality...
value of k = -1/2