A point A lies on the line y = 2x^2 - 8x + 2. A has y-coordinate (-4). Find all possible values for the x-coordinate of A.
The point A = (x', y') lies on the line y = 2x2 - 8x +2. And we are given that y' = -4.Therefore we have that -4 = 2x2 - 8x +2, which simplifies to x2 - 4x + 3 = 0. Solutions for this quadratic equation are 1 and 3.
HK
Related Maths GCSE answers
All answers ▸Write as a single fraction in it's simplest form: 2/(y+3)-1/(y-6)
There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.
Solve x^2+6x+5=0
A shop sells only Apples, Bananas and Mangos. The ratio of Apples to Bananas is 5:11. The next shopper will choose one piece of fruit at random. The probability that they buy a Mango is 0.2. What is the probability that they buy an Apple?