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

x2 + 8x = (x + 4)2 - 16, so x2 + 8x - 5 = (x + 4)2 - 16 - 5 = (x + 4)2 - 21, so then (x + 4)2 - 21 = 0 (x + 4)2 = 21 -----> x + 4 = √21 -------> x = -4 + √21                               x = -4 - √21

SJ

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: 2x + 3y = 28 and x + y = 11


How to solve the maths GCSE question about Hannah's sweets that went viral


Factorise 4x+6x^2


Let f(x) = x^2 - 1. A vertical translation of 3 and a horizontal translation of -2 is applied. Write the new function g(x) in the form g(x) = ax^2 + bx + c