By completing the square, find the solutions of x which satisfy the equation x^2+14x-1=0
Using the general complete the square formula, where x2+bx+c=0 becomes (a+b/2)2+b2+c=0, we get (x+7)2-72-1=0 This can be rearranged to show that (x+7)2=50 by taking the square root of both sides we find that x+7=+ or - √50 Hence the final solutions are x=-7 +√50 and x=-7-√50
IF
Related Maths GCSE answers
All answers ▸Jodie buys 12 cans of cola. There are 330 ml of cola in each can. Rob buys 4 bottles of cola. There is 1 litre of cola in each bottle. Rob buys more cola than Jodie. How much more?
How do you factorize a quadratic when a ≠ 1 when ax²+bx+c=0
If a rectangle has area 48cm2 and sides length 6cm and (3x+2)cm, what is the value of x?
The equation the line L1 is y=3x-2 and the equation of line L2 is 3y-9x+5=0. Show that these two lines are parallel.