Ecuaciones Por Formula General

1.- X²-16=0 x²=16 x=√16 x=4

2.-2²+3X-10 -3±√ -3²-4(1)(-10) = -3±√9+40 = -3±√49 X1= -3±7 = -3+7 = 4 = 2

2(1) 2 2 2 2 2

X2= -3-7 = -10 =0

2 2

3.- X²-8X+15 -(-8)±√8²-4(1)(15) = 8±√64-60 =8±√4 = X1= 8±2 = 8+2 = 10 = 5

2(1) 2 2 2 2 2

X2= 8-2 =6 = 3

2 2

4.- X²-5X =0 X²= 5 X=√5 X=2.23

5.- X²-4X+4=0 -(-4)±√4²-4(1)(4) = 4±√16-16 = 0 X1= 4+0 = 4 = 2

2(1) 2 2 2

X2= 4-0 = 4 =1

2 2

6.- x²-2x-24=0 -(-2)±√2²-4(1)(-24) = 2±√4+96 = 2±√100 = 2±10 = x1= 2+10 = 12 = 6

2(1) 2 2 2 2 2

X2= 2-10 = -8 = -4

2 2

7.- 2X²-11X-6 =0 -(-11)±√-11²-4(2)(-6) = 11±√121+48 = 11±√169 = 11±13 = X1= 11+13 = 24= 6

2(2) 4 4 4 4 4

X2=11-13 = -2 = .5

4 4

8.- 3X²+2X-1 = 0 -2±√2²-4(3)(-1) = -2±√4+12 = - 2±√16 =- 2±4 =X1=- 2+4 =2 = -33

2(3) 6 6 6 6 6

X2= -2-4 = -6 1

6 6

9.- 3X²-7X-6 =0 -(-7)±√7²-4(3)(-6) = 7±√49+72 = 7±√121 = 7±11 =X1= 7+11 = 18 =3

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