Solve 5x^2 = 10x + 4 Give your answers to 2 decimal places. [4 marks]

5x^2 = 10x + 4 5x^2 - 10x = 4 5x^2 - 10x - 4 = 0 ax^2 +bx +c = 0 x = (-b (+/-) ( b2 -4ac)1/2) /(2a) x = (--10 (+/-) ((-10)2- (4 x 5 x -4))1/2)/(2 x 5) x = (10 (+/-) (100 + 80)1/2)/10 x = (10 (+/-) (180)1/2 )/10 x = 2.341(...) and –0.341(...) x= 2.34 and –0.34 (to 2.d.p)

JT

Related Maths GCSE answers

All answers ▸

The Curve C has the equation 2x^2-11+13. The point Q lies on C such that the gradient of the normal to C at Q is -1/9. Find the x-co-ordinate of Q


The are 10 coloured balls in a bag, 4 red, 3 green, 2 orange and 1 yellow. John picks out balls and replaces them one at a time. What is the probability that the first two he picks are red?


A school has a number of students. One is chosen at random; the probability that the student is female is 2/5. Knowing that there are 174 male students, work out the total number of students in the school.


50 people ate a snack , some had apples some had biscuits the rest had banana. 21 people were male the rest female. 6 out of 8 people who had apples were female. 18 people had biscuits. 9 females had bananas. How many males had biscuits?