Solve x^2+8x-5=0 using completing the square

by completing the square we write the equation as (x+b/2)^2-b/2^2+c, in this case b=8 (the coefficient of x) and c=5 so we have (x+4)^2-16-5=0, which equals (x+4)^2-21=0. Now by rearranging we get (x+4)^2=21, which goes to x+4=+or-sqrt(21). Therefore x=sgrt21 -4 or x=-sqrt21 -4

LH

Related Further Mathematics A Level answers

All answers ▸

Express the complex number (1+i)/(1-i) in the form x+iy


A 1kg ball is dropped of a 20m tall bridge onto tarmac. The ball experiences 2N of drag throughout its motion. The ground has a coefficient of restitution of 0.5. What is the maximum height the ball will reach after one bounce


How do you find the cube root of z = 1 + i?


Show that the points on an Argand diagram that represent the roots of ((z+1)/z)^6 = 1 lie on a straight line.