Respuestas
Respuesta dada por:
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1)X² + 15X + 56 = 0
Donde: a = 1; b = 15; c = 56
![X=\frac{-b\pm \sqrt{b^2-4ac}}{2a} X=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-b%5Cpm+%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![X=\frac{-15\pm \sqrt{15^2-4(1)(56)}}{2(1)} X=\frac{-15\pm \sqrt{15^2-4(1)(56)}}{2(1)}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-15%5Cpm+%5Csqrt%7B15%5E2-4%281%29%2856%29%7D%7D%7B2%281%29%7D)
![X=\frac{-15\pm \sqrt{225-224}}{2} X=\frac{-15\pm \sqrt{225-224}}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-15%5Cpm+%5Csqrt%7B225-224%7D%7D%7B2%7D)
![X=\frac{-15\pm \sqrt{1}}{2} X=\frac{-15\pm \sqrt{1}}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-15%5Cpm+%5Csqrt%7B1%7D%7D%7B2%7D)
![X=\frac{-15\pm \ 1}{2} X=\frac{-15\pm \ 1}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-15%5Cpm+%5C+1%7D%7B2%7D)
X1 = [-15 + 1]/2 = -14/2 = -7
X2 = [-15 - 1]/2 = -16/2 = -8
X1 = -7; X2 = -8
2) 2X² - 6X + 4 = 0 (simplifico entre 2)
X² - 3X + 2 = 0
Donde: a =1; b = -3 c = 2
![X=\frac{-(-3)\pm \sqrt{(-3)^2-4(1)(2)}}{2(1)} X=\frac{-(-3)\pm \sqrt{(-3)^2-4(1)(2)}}{2(1)}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-%28-3%29%5Cpm+%5Csqrt%7B%28-3%29%5E2-4%281%29%282%29%7D%7D%7B2%281%29%7D)
![X=\frac{3\pm \sqrt{9-8}}{2} X=\frac{3\pm \sqrt{9-8}}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B3%5Cpm+%5Csqrt%7B9-8%7D%7D%7B2%7D)
![X=\frac{3\pm \sqrt{1}}{2} X=\frac{3\pm \sqrt{1}}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B3%5Cpm+%5Csqrt%7B1%7D%7D%7B2%7D)
![X=\frac{3\pm \ 1}{2} X=\frac{3\pm \ 1}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B3%5Cpm+%5C+1%7D%7B2%7D)
X1 = [3 + 1]/2 = 4/2 = 2
X2 = [3 - 1]/2 = 2/2 = 1
X1 = 2; X2 = 1
3) X² + 8X + 16 = 0
Donde: a = 1; b = 8; c = 16
![X=\frac{-8\pm \sqrt{8^2-4(1)(16)}}{2(1)} X=\frac{-8\pm \sqrt{8^2-4(1)(16)}}{2(1)}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-8%5Cpm+%5Csqrt%7B8%5E2-4%281%29%2816%29%7D%7D%7B2%281%29%7D)
![X=\frac{-8\pm \sqrt{64-64}}{2} X=\frac{-8\pm \sqrt{64-64}}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-8%5Cpm+%5Csqrt%7B64-64%7D%7D%7B2%7D)
![X=\frac{-8\pm \sqrt{0}}{2} X=\frac{-8\pm \sqrt{0}}{2}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-8%5Cpm+%5Csqrt%7B0%7D%7D%7B2%7D)
X = -8/2 = -4
X = -4
4) 3X² - 14X + 8 = 0
Donde: a = 3; b = -14; c = 8
![X=\frac{-b\pm \sqrt{b^2-4ac}}{2a} X=\frac{-b\pm \sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-b%5Cpm+%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![X=\frac{-(-14)\pm \sqrt{(-14)^2-4(3)(8)}}{2(3)} X=\frac{-(-14)\pm \sqrt{(-14)^2-4(3)(8)}}{2(3)}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B-%28-14%29%5Cpm+%5Csqrt%7B%28-14%29%5E2-4%283%29%288%29%7D%7D%7B2%283%29%7D)
![X=\frac{14\pm \sqrt{196-96}}{6} X=\frac{14\pm \sqrt{196-96}}{6}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B14%5Cpm+%5Csqrt%7B196-96%7D%7D%7B6%7D)
![X=\frac{14\pm \sqrt{100}}{6} X=\frac{14\pm \sqrt{100}}{6}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B14%5Cpm+%5Csqrt%7B100%7D%7D%7B6%7D)
![X=\frac{14\pm \ 10}{6} X=\frac{14\pm \ 10}{6}](https://tex.z-dn.net/?f=X%3D%5Cfrac%7B14%5Cpm+%5C+10%7D%7B6%7D)
X1 = [14 + 10]/6 = 24/6 = 4
X2 = [14 - 10]/6 = 4/6 = 2/3
X1 = 4; X2 = 2/3
Donde: a = 1; b = 15; c = 56
X1 = [-15 + 1]/2 = -14/2 = -7
X2 = [-15 - 1]/2 = -16/2 = -8
X1 = -7; X2 = -8
2) 2X² - 6X + 4 = 0 (simplifico entre 2)
X² - 3X + 2 = 0
Donde: a =1; b = -3 c = 2
X1 = [3 + 1]/2 = 4/2 = 2
X2 = [3 - 1]/2 = 2/2 = 1
X1 = 2; X2 = 1
3) X² + 8X + 16 = 0
Donde: a = 1; b = 8; c = 16
X = -8/2 = -4
X = -4
4) 3X² - 14X + 8 = 0
Donde: a = 3; b = -14; c = 8
X1 = [14 + 10]/6 = 24/6 = 4
X2 = [14 - 10]/6 = 4/6 = 2/3
X1 = 4; X2 = 2/3
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