Mathematics
nidyasirah
28

Solve this quadratic equation by completing the square. x2 + 10x = 26

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(2) Answers
creepers20903

                        x² + 10x = 26                 x² + 10x + 25 = 26 + 25           x² + 5x + 5x + 25 = 51 x(x) + x(5) + 5(x) + 5(5) = 51          x(x + 5) + 5(x + 5) = 51                  (x + 5)(x + 5) = 51                           (x + 5)² = 51                              x + 5 = ±√(51)                                  - 5      - 5                                    x = -5 ± √(51)                                    x = -5 + √(51)    or    x = -5 - √(51)

Bao873

ax^2+bx+c=d to comlete teh square minus c to both sides make sure a=1, if not, divide both sides by a take 1/2 of b, then square that and add that to both sides so x^2+10x=26 c is already over a=1 b=10 10/2=5 5^2=25 add 25 both sides x^2+10x+25=26+25 factor (x+5)^2=51 sqrt both sides x+5=+/-√51  minus 5 x=-5+/-√51 x=-5+√51 or -5-√51

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