Let r and s be the roots of the quadratic equation x2 – 13x + 9 = 0. Find the quadratic equation with the roots 2r+s and r + 2s with a leading coefficient of 1.I just need help solving these: 2) Let r and s be the roots of the quadratic equation x2 – 13x + 9 = 0. Find the quadratic equation with the roots 2r+s and r + 2s with a leading coefficient of 1. (Note: Full credit will only be given for the technique where the value of neither r nor s is ascertained.) 3) For this question assume that if x1 ounces of liquid 1 at temperature t1 is mixed with x2 ounces of liquid 2 at temperature t2 the resulting mixture is x1 + x2 ounces with a temperature of (see included picture) . Arups wife Anita likes her tea mixed with milk. (She also likes it with sugar but I didnt want to make this problem too hard!) Unfortunately she has a very specific preference for both the ratio of tea to milk and the temperature of the overall mixture. Specifically she wants a 6:1 ratio of tea to milk at a temperature of 180° F. On Arups first attempt he mixed 8 ounces of tea at 200° F with half an ounce of milk at 40° F. Its not possible for Arup to add any more tea to the mixture but he is allowed to add more milk and he can heat that milk to any temperature greater than 40° F if necessary before he adds it. How much milk should Arup add to the tea and at what temperature should he heat it before adding it to fix the tea?